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Finding the Third Proportional to 80,679.80 and 175,609.27

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Solution

The third proportional to 80,679.80 and 175,609.27 is: 382,234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,679.80 : 175,609.27 = 175,609.27 : x
  2. Step 2: Convert to fraction form
    80,679.80/175,609.27 = 175,609.27/x
  3. Step 3: Cross multiply
    80,679.80x = 175,609.27 × 175,609.27
  4. Step 4: Simplify right side
    80,679.80x = 30,838,614,173.35
  5. Step 5: Solve for x
    x = 30,838,614,173.35/80,679.80
  6. Step 6: Final answer
    x = 382,234.65

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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.