In order to use dBase you would need to use an ODBC driver and for example OLEDB connectivity in ADO.NET. Few example which are not for dBase but they show how to use OLE DB functionality:
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Using ADO.NET for beginners[
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ADO.NET Code Examples[
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Side-note, dBase III is
really old product (for example I used to work with it back in 1986 or so :)). If you just have the possibility I would suggest changing it to for example Access or even SQL Server.