Bank One Corp. agreed on Wednesday to buy a healthy community bank in Salt Lake City, thus increasing its share of the Utah market by nearly 15%.

The Ohio-based bank company, the nation's eighth largest, said it expected to complete the purchase of Capital Bancorp by the first quarter of 1994. The Utah bank, which has $117 million of assets and seven branches, will raise Banc One's position to fourth place from fifth place in terms of total bank assets in the western state.

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