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Finding the Third Proportional to 80,169.75 and 169,350.75

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Solution

The third proportional to 80,169.75 and 169,350.75 is: 357,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,169.75 : 169,350.75 = 169,350.75 : x
  2. Step 2: Convert to fraction form
    80,169.75/169,350.75 = 169,350.75/x
  3. Step 3: Cross multiply
    80,169.75x = 169,350.75 × 169,350.75
  4. Step 4: Simplify right side
    80,169.75x = 28,679,676,525.56
  5. Step 5: Solve for x
    x = 28,679,676,525.56/80,169.75
  6. Step 6: Final answer
    x = 357,736.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.