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Finding the Third Proportional to 80,787 and 165,597

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Solution

The third proportional to 80,787 and 165,597 is: 339,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,787 : 165,597 = 165,597 : x
  2. Step 2: Convert to fraction form
    80,787/165,597 = 165,597/x
  3. Step 3: Cross multiply
    80,787x = 165,597 × 165,597
  4. Step 4: Simplify right side
    80,787x = 27,422,366,409
  5. Step 5: Solve for x
    x = 27,422,366,409/80,787
  6. Step 6: Final answer
    x = 339,440.34

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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.