Through two periods, the Blue Jackets had all three power plays, each of which came in the first, and a 24-7 shot advantage.
Foligno said circumstances helped Columbus control the game. Washington defeated the Los Angeles Kings 6-4 at home Monday. The Blue Jackets' practice Monday was canceled because of a gas leak near Nationwide Arena.
"They're coming off a back-to-back," he said. "We had an unfortunate day off yesterday. I think it got our energy to be at an all-time high here for this game knowing how important it was.
"That was a pretty dominating performance from our team against a really good team. Obviously you can use the excuse they played last night but that's the way this league works, and you've got to take advantage of it."
Foligno made it 2-0 with 3:48 left in the third period on a snap shot from between the circles. He entered the zone and dropped the puck to Seth Jones, who gave it back to Foligno to his left.
Columbus had outshot Washington 31-15 before Holtby was pulled for an extra attacker with 2:44 left in regulation.
Panarin scored into an empty net with 10 seconds remaining for the 3-0 final.