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Finding the Third Proportional to 232.56 and 500.73

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Solution

The third proportional to 232.56 and 500.73 is: 1,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.56 : 500.73 = 500.73 : x
  2. Step 2: Convert to fraction form
    232.56/500.73 = 500.73/x
  3. Step 3: Cross multiply
    232.56x = 500.73 × 500.73
  4. Step 4: Simplify right side
    232.56x = 250,731.00
  5. Step 5: Solve for x
    x = 250,731.00/232.56
  6. Step 6: Final answer
    x = 1,078.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.