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Finding the Third Proportional to 125,414 and 271,280

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Solution

The third proportional to 125,414 and 271,280 is: 586,799.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,414 : 271,280 = 271,280 : x
  2. Step 2: Convert to fraction form
    125,414/271,280 = 271,280/x
  3. Step 3: Cross multiply
    125,414x = 271,280 × 271,280
  4. Step 4: Simplify right side
    125,414x = 73,592,838,400
  5. Step 5: Solve for x
    x = 73,592,838,400/125,414
  6. Step 6: Final answer
    x = 586,799.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.