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Finding the Third Proportional to 127,344 and 268,626

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Solution

The third proportional to 127,344 and 268,626 is: 566,653.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,344 : 268,626 = 268,626 : x
  2. Step 2: Convert to fraction form
    127,344/268,626 = 268,626/x
  3. Step 3: Cross multiply
    127,344x = 268,626 × 268,626
  4. Step 4: Simplify right side
    127,344x = 72,159,927,876
  5. Step 5: Solve for x
    x = 72,159,927,876/127,344
  6. Step 6: Final answer
    x = 566,653.54

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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.