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Finding the Third Proportional to 125,496 and 268,456

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Solution

The third proportional to 125,496 and 268,456 is: 574,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,496 : 268,456 = 268,456 : x
  2. Step 2: Convert to fraction form
    125,496/268,456 = 268,456/x
  3. Step 3: Cross multiply
    125,496x = 268,456 × 268,456
  4. Step 4: Simplify right side
    125,496x = 72,068,623,936
  5. Step 5: Solve for x
    x = 72,068,623,936/125,496
  6. Step 6: Final answer
    x = 574,270.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.