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Finding the Third Proportional to 232,502.63 and 329,082.75

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Solution

The third proportional to 232,502.63 and 329,082.75 is: 465,781.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,502.63 : 329,082.75 = 329,082.75 : x
  2. Step 2: Convert to fraction form
    232,502.63/329,082.75 = 329,082.75/x
  3. Step 3: Cross multiply
    232,502.63x = 329,082.75 × 329,082.75
  4. Step 4: Simplify right side
    232,502.63x = 108,295,456,347.56
  5. Step 5: Solve for x
    x = 108,295,456,347.56/232,502.63
  6. Step 6: Final answer
    x = 465,781.65

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.