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Finding the Third Proportional to 165,747.38 and 259,282.13

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Solution

The third proportional to 165,747.38 and 259,282.13 is: 405,600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,747.38 : 259,282.13 = 259,282.13 : x
  2. Step 2: Convert to fraction form
    165,747.38/259,282.13 = 259,282.13/x
  3. Step 3: Cross multiply
    165,747.38x = 259,282.13 × 259,282.13
  4. Step 4: Simplify right side
    165,747.38x = 67,227,220,344.52
  5. Step 5: Solve for x
    x = 67,227,220,344.52/165,747.38
  6. Step 6: Final answer
    x = 405,600.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.