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Finding the Third Proportional to 80,220 and 170,766

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Solution

The third proportional to 80,220 and 170,766 is: 363,513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,220 : 170,766 = 170,766 : x
  2. Step 2: Convert to fraction form
    80,220/170,766 = 170,766/x
  3. Step 3: Cross multiply
    80,220x = 170,766 × 170,766
  4. Step 4: Simplify right side
    80,220x = 29,161,026,756
  5. Step 5: Solve for x
    x = 29,161,026,756/80,220
  6. Step 6: Final answer
    x = 363,513.17

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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.