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Finding the Third Proportional to 80,366 and 175,019

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Solution

The third proportional to 80,366 and 175,019 is: 381,151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,366 : 175,019 = 175,019 : x
  2. Step 2: Convert to fraction form
    80,366/175,019 = 175,019/x
  3. Step 3: Cross multiply
    80,366x = 175,019 × 175,019
  4. Step 4: Simplify right side
    80,366x = 30,631,650,361
  5. Step 5: Solve for x
    x = 30,631,650,361/80,366
  6. Step 6: Final answer
    x = 381,151.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.