Strome cut it to 3-2 at 12:01, scoring after a seam pass by Derek Grant deflected off the stick of Jones to him at the far post.
Henrique tied it 3-3 at 5:46 of the third on a power play, scoring on a tap pass from the goal line by Strome.
"He's just been a great leader for us, even when times are tough this year, he's been a real calming presence," Strome said. "He brings the same attitude and work ethic day in and day out, and that's really infectious for our young guys."
Eriksson Ek, who was recalled on an emergency basis from San Diego of the American Hockey League on Friday, allowed three goals on 18 shots in the first two periods before stopping 17 of 18 in the third.
"I thought he settled in there really well," Eakins said. "He should be proud of his performance. … To be the next man up is a tough situation sometimes. Your dream is always to play that first NHL game and then when it comes, you can be a little jittery."
NOTES:Ducks goalie John Gibson missed his second straight game due to illness, and forward Troy Terry did not make the trip for the birth of his child. Terry is expected to play Sunday against the Colorado Avalanche. … Prosvetov allowed 15 goals in his previous two starts. … Former Calgary Flames defenseman Dennis Wideman held the previous time-on-ice record of 38:05 set on Jan. 18, 2014.