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Finding the Third Proportional to 80,247 and 170,862

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Solution

The third proportional to 80,247 and 170,862 is: 363,799.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,247 : 170,862 = 170,862 : x
  2. Step 2: Convert to fraction form
    80,247/170,862 = 170,862/x
  3. Step 3: Cross multiply
    80,247x = 170,862 × 170,862
  4. Step 4: Simplify right side
    80,247x = 29,193,823,044
  5. Step 5: Solve for x
    x = 29,193,823,044/80,247
  6. Step 6: Final answer
    x = 363,799.56

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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.