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Finding the Third Proportional to 127,876.50 and 278,649

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Solution

The third proportional to 127,876.50 and 278,649 is: 607,189.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,876.50 : 278,649 = 278,649 : x
  2. Step 2: Convert to fraction form
    127,876.50/278,649 = 278,649/x
  3. Step 3: Cross multiply
    127,876.50x = 278,649 × 278,649
  4. Step 4: Simplify right side
    127,876.50x = 77,645,265,201
  5. Step 5: Solve for x
    x = 77,645,265,201/127,876.50
  6. Step 6: Final answer
    x = 607,189.48

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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.