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Finding the Third Proportional to 80,782 and 165,592

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Solution

The third proportional to 80,782 and 165,592 is: 339,440.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,782 : 165,592 = 165,592 : x
  2. Step 2: Convert to fraction form
    80,782/165,592 = 165,592/x
  3. Step 3: Cross multiply
    80,782x = 165,592 × 165,592
  4. Step 4: Simplify right side
    80,782x = 27,420,710,464
  5. Step 5: Solve for x
    x = 27,420,710,464/80,782
  6. Step 6: Final answer
    x = 339,440.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.