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Finding the Third Proportional to 239,151.38 and 524,953.13

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Solution

The third proportional to 239,151.38 and 524,953.13 is: 1,152,306.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,151.38 : 524,953.13 = 524,953.13 : x
  2. Step 2: Convert to fraction form
    239,151.38/524,953.13 = 524,953.13/x
  3. Step 3: Cross multiply
    239,151.38x = 524,953.13 × 524,953.13
  4. Step 4: Simplify right side
    239,151.38x = 275,575,783,447.27
  5. Step 5: Solve for x
    x = 275,575,783,447.27/239,151.38
  6. Step 6: Final answer
    x = 1,152,306.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.