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Finding the Third Proportional to 80,744 and 168,880

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Solution

The third proportional to 80,744 and 168,880 is: 353,220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,744 : 168,880 = 168,880 : x
  2. Step 2: Convert to fraction form
    80,744/168,880 = 168,880/x
  3. Step 3: Cross multiply
    80,744x = 168,880 × 168,880
  4. Step 4: Simplify right side
    80,744x = 28,520,454,400
  5. Step 5: Solve for x
    x = 28,520,454,400/80,744
  6. Step 6: Final answer
    x = 353,220.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.