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Finding the Third Proportional to 127,814 and 268,849

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Solution

The third proportional to 127,814 and 268,849 is: 565,507.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,814 : 268,849 = 268,849 : x
  2. Step 2: Convert to fraction form
    127,814/268,849 = 268,849/x
  3. Step 3: Cross multiply
    127,814x = 268,849 × 268,849
  4. Step 4: Simplify right side
    127,814x = 72,279,784,801
  5. Step 5: Solve for x
    x = 72,279,784,801/127,814
  6. Step 6: Final answer
    x = 565,507.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.