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Finding the Third Proportional to 259,067.25 and 381,193.88

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Solution

The third proportional to 259,067.25 and 381,193.88 is: 560,892.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,067.25 : 381,193.88 = 381,193.88 : x
  2. Step 2: Convert to fraction form
    259,067.25/381,193.88 = 381,193.88/x
  3. Step 3: Cross multiply
    259,067.25x = 381,193.88 × 381,193.88
  4. Step 4: Simplify right side
    259,067.25x = 145,308,770,337.52
  5. Step 5: Solve for x
    x = 145,308,770,337.52/259,067.25
  6. Step 6: Final answer
    x = 560,892.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.