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Finding the Third Proportional to 80,414 and 171,515

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Solution

The third proportional to 80,414 and 171,515 is: 365,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,414 : 171,515 = 171,515 : x
  2. Step 2: Convert to fraction form
    80,414/171,515 = 171,515/x
  3. Step 3: Cross multiply
    80,414x = 171,515 × 171,515
  4. Step 4: Simplify right side
    80,414x = 29,417,395,225
  5. Step 5: Solve for x
    x = 29,417,395,225/80,414
  6. Step 6: Final answer
    x = 365,824.30

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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.