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Finding the Third Proportional to 127,744 and 268,720

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Solution

The third proportional to 127,744 and 268,720 is: 565,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,744 : 268,720 = 268,720 : x
  2. Step 2: Convert to fraction form
    127,744/268,720 = 268,720/x
  3. Step 3: Cross multiply
    127,744x = 268,720 × 268,720
  4. Step 4: Simplify right side
    127,744x = 72,210,438,400
  5. Step 5: Solve for x
    x = 72,210,438,400/127,744
  6. Step 6: Final answer
    x = 565,274.60

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