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Finding the Third Proportional to 85,331 and 183,744

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Solution

The third proportional to 85,331 and 183,744 is: 395,657.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,331 : 183,744 = 183,744 : x
  2. Step 2: Convert to fraction form
    85,331/183,744 = 183,744/x
  3. Step 3: Cross multiply
    85,331x = 183,744 × 183,744
  4. Step 4: Simplify right side
    85,331x = 33,761,857,536
  5. Step 5: Solve for x
    x = 33,761,857,536/85,331
  6. Step 6: Final answer
    x = 395,657.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.