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Finding the Third Proportional to 80,463.38 and 169,219.13

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Solution

The third proportional to 80,463.38 and 169,219.13 is: 355,877.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,463.38 : 169,219.13 = 169,219.13 : x
  2. Step 2: Convert to fraction form
    80,463.38/169,219.13 = 169,219.13/x
  3. Step 3: Cross multiply
    80,463.38x = 169,219.13 × 169,219.13
  4. Step 4: Simplify right side
    80,463.38x = 28,635,112,265.77
  5. Step 5: Solve for x
    x = 28,635,112,265.77/80,463.38
  6. Step 6: Final answer
    x = 355,877.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.