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Finding the Third Proportional to 232.10 and 502.03

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Solution

The third proportional to 232.10 and 502.03 is: 1,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.10 : 502.03 = 502.03 : x
  2. Step 2: Convert to fraction form
    232.10/502.03 = 502.03/x
  3. Step 3: Cross multiply
    232.10x = 502.03 × 502.03
  4. Step 4: Simplify right side
    232.10x = 252,035.38
  5. Step 5: Solve for x
    x = 252,035.38/232.10
  6. Step 6: Final answer
    x = 1,085.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.