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Finding the Third Proportional to 80,411 and 176,860

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Solution

The third proportional to 80,411 and 176,860 is: 388,994.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,411 : 176,860 = 176,860 : x
  2. Step 2: Convert to fraction form
    80,411/176,860 = 176,860/x
  3. Step 3: Cross multiply
    80,411x = 176,860 × 176,860
  4. Step 4: Simplify right side
    80,411x = 31,279,459,600
  5. Step 5: Solve for x
    x = 31,279,459,600/80,411
  6. Step 6: Final answer
    x = 388,994.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.