Cashen is an associate professor and department chair at Tiffin University, where he teaches criminal justice courses. He is also a retired Norwalk police chief.
Cashen will replace Janet Broz, a 16-year board member.
At an Oct. 7 board meeting, Broz initially declared she was bowing out of the race with an emotional public announcement. A few weeks later, however, she informed the Huron County Board of Elections that she was not going to pull out of the election.
She did not return multiple calls and emails seeking comment on her candidacy this past month.
Current board members Steve Linder and Robert Ludwig will retain their board seats. They received about 24 percent and 22 percent of the votes, respectively.
Each candidate elected Tuesday will serve a four-year term on the board.