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Finding the Third Proportional to 101,414 and 220,267

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Solution

The third proportional to 101,414 and 220,267 is: 478,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,414 : 220,267 = 220,267 : x
  2. Step 2: Convert to fraction form
    101,414/220,267 = 220,267/x
  3. Step 3: Cross multiply
    101,414x = 220,267 × 220,267
  4. Step 4: Simplify right side
    101,414x = 48,517,551,289
  5. Step 5: Solve for x
    x = 48,517,551,289/101,414
  6. Step 6: Final answer
    x = 478,410.78

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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.