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Finding the Third Proportional to 170,472.38 and 255,709.13

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Solution

The third proportional to 170,472.38 and 255,709.13 is: 383,564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,472.38 : 255,709.13 = 255,709.13 : x
  2. Step 2: Convert to fraction form
    170,472.38/255,709.13 = 255,709.13/x
  3. Step 3: Cross multiply
    170,472.38x = 255,709.13 × 255,709.13
  4. Step 4: Simplify right side
    170,472.38x = 65,387,156,608.27
  5. Step 5: Solve for x
    x = 65,387,156,608.27/170,472.38
  6. Step 6: Final answer
    x = 383,564.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.