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Finding the Third Proportional to 80,217 and 170,757

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Solution

The third proportional to 80,217 and 170,757 is: 363,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,217 : 170,757 = 170,757 : x
  2. Step 2: Convert to fraction form
    80,217/170,757 = 170,757/x
  3. Step 3: Cross multiply
    80,217x = 170,757 × 170,757
  4. Step 4: Simplify right side
    80,217x = 29,157,953,049
  5. Step 5: Solve for x
    x = 29,157,953,049/80,217
  6. Step 6: Final answer
    x = 363,488.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.