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Finding the Third Proportional to 127,314 and 268,569

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Solution

The third proportional to 127,314 and 268,569 is: 566,546.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,314 : 268,569 = 268,569 : x
  2. Step 2: Convert to fraction form
    127,314/268,569 = 268,569/x
  3. Step 3: Cross multiply
    127,314x = 268,569 × 268,569
  4. Step 4: Simplify right side
    127,314x = 72,129,307,761
  5. Step 5: Solve for x
    x = 72,129,307,761/127,314
  6. Step 6: Final answer
    x = 566,546.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.