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Finding the Third Proportional to 151,785.38 and 226,447.88

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Solution

The third proportional to 151,785.38 and 226,447.88 is: 337,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,785.38 : 226,447.88 = 226,447.88 : x
  2. Step 2: Convert to fraction form
    151,785.38/226,447.88 = 226,447.88/x
  3. Step 3: Cross multiply
    151,785.38x = 226,447.88 × 226,447.88
  4. Step 4: Simplify right side
    151,785.38x = 51,278,640,092.02
  5. Step 5: Solve for x
    x = 51,278,640,092.02/151,785.38
  6. Step 6: Final answer
    x = 337,836.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.