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Finding the Third Proportional to 80,882.75 and 175,737.50

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Solution

The third proportional to 80,882.75 and 175,737.50 is: 381,832.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,882.75 : 175,737.50 = 175,737.50 : x
  2. Step 2: Convert to fraction form
    80,882.75/175,737.50 = 175,737.50/x
  3. Step 3: Cross multiply
    80,882.75x = 175,737.50 × 175,737.50
  4. Step 4: Simplify right side
    80,882.75x = 30,883,668,906.25
  5. Step 5: Solve for x
    x = 30,883,668,906.25/80,882.75
  6. Step 6: Final answer
    x = 381,832.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.