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Finding the Third Proportional to 80,401 and 171,486

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Solution

The third proportional to 80,401 and 171,486 is: 365,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,401 : 171,486 = 171,486 : x
  2. Step 2: Convert to fraction form
    80,401/171,486 = 171,486/x
  3. Step 3: Cross multiply
    80,401x = 171,486 × 171,486
  4. Step 4: Simplify right side
    80,401x = 29,407,448,196
  5. Step 5: Solve for x
    x = 29,407,448,196/80,401
  6. Step 6: Final answer
    x = 365,759.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.