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Finding the Third Proportional to 80,677.69 and 175,348.13

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Solution

The third proportional to 80,677.69 and 175,348.13 is: 381,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,677.69 : 175,348.13 = 175,348.13 : x
  2. Step 2: Convert to fraction form
    80,677.69/175,348.13 = 175,348.13/x
  3. Step 3: Cross multiply
    80,677.69x = 175,348.13 × 175,348.13
  4. Step 4: Simplify right side
    80,677.69x = 30,746,964,941.02
  5. Step 5: Solve for x
    x = 30,746,964,941.02/80,677.69
  6. Step 6: Final answer
    x = 381,108.65

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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.