The reaction represented is a decomposition reaction, where barium chlorate \((\text{Ba(ClO}_3\text{)}_2)\) breaks down into its constituent parts. The other product formed in this reaction is barium chloride \((\text{BaCl}_2)\), so the balanced equation would be:
\[ \text{Ba(ClO}_3\text{)}_2 → \text{BaCl}_2 + 3\text{O}_2. \]