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Finding the Third Proportional to 127,568 and 278,452

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Solution

The third proportional to 127,568 and 278,452 is: 607,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,568 : 278,452 = 278,452 : x
  2. Step 2: Convert to fraction form
    127,568/278,452 = 278,452/x
  3. Step 3: Cross multiply
    127,568x = 278,452 × 278,452
  4. Step 4: Simplify right side
    127,568x = 77,535,516,304
  5. Step 5: Solve for x
    x = 77,535,516,304/127,568
  6. Step 6: Final answer
    x = 607,797.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.