Hofstra (19-13), who has won seven straight and 10 of their last 11 games, will face Northeastern in the quarterfinals on Saturday.
The Panthers (12-20) cut the lead to 40-37 before Hofstra used a 10-2 spurt to take a 50-39 lead with 10:37 left. The Panthers tied the game at 55-55 with 5:46 left.
Charles Jenkins scored the next nine Pride points. But Ousman Krubally outdid him with 10 consecutive points, giving Georgia State a 65-64 lead on a pair of free throws with 2:03 left.
Szabos and Joe Dukes traded baskets as Georgia State held a one point lead, until Washington's jumper. The Panthers could have pulled ahead, but lost the ball in the lane as time expired.