Link records in both directions (automatically) within same table?

I've added a 'related record' field to a table, and by setting a relationship between the table and itself, have been able to use the record picker to select a related record when needed. The record where the update is made will link to the related record. This is working fine. 

Is there a way to have the 'related record' field in other record update automatically to link back to the one where the manual link was made? As in, if I select '150' in the 'related record' field of record 200, is there a way to have record 200 update so that the 'related record' field now contains '150', without making the change manually?