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Finding the Third Proportional to 252,645.75 and 381,601.13

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Solution

The third proportional to 252,645.75 and 381,601.13 is: 576,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,645.75 : 381,601.13 = 381,601.13 : x
  2. Step 2: Convert to fraction form
    252,645.75/381,601.13 = 381,601.13/x
  3. Step 3: Cross multiply
    252,645.75x = 381,601.13 × 381,601.13
  4. Step 4: Simplify right side
    252,645.75x = 145,619,418,601.27
  5. Step 5: Solve for x
    x = 145,619,418,601.27/252,645.75
  6. Step 6: Final answer
    x = 576,377.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.