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Finding the Third Proportional to 127,569 and 278,448

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Solution

The third proportional to 127,569 and 278,448 is: 607,775.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,569 : 278,448 = 278,448 : x
  2. Step 2: Convert to fraction form
    127,569/278,448 = 278,448/x
  3. Step 3: Cross multiply
    127,569x = 278,448 × 278,448
  4. Step 4: Simplify right side
    127,569x = 77,533,288,704
  5. Step 5: Solve for x
    x = 77,533,288,704/127,569
  6. Step 6: Final answer
    x = 607,775.31

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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.