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Finding the Third Proportional to 127,828 and 278,980

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Solution

The third proportional to 127,828 and 278,980 is: 608,863.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,828 : 278,980 = 278,980 : x
  2. Step 2: Convert to fraction form
    127,828/278,980 = 278,980/x
  3. Step 3: Cross multiply
    127,828x = 278,980 × 278,980
  4. Step 4: Simplify right side
    127,828x = 77,829,840,400
  5. Step 5: Solve for x
    x = 77,829,840,400/127,828
  6. Step 6: Final answer
    x = 608,863.79

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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.