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Finding the Third Proportional to 126,200 and 278,656

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Solution

The third proportional to 126,200 and 278,656 is: 615,286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,200 : 278,656 = 278,656 : x
  2. Step 2: Convert to fraction form
    126,200/278,656 = 278,656/x
  3. Step 3: Cross multiply
    126,200x = 278,656 × 278,656
  4. Step 4: Simplify right side
    126,200x = 77,649,166,336
  5. Step 5: Solve for x
    x = 77,649,166,336/126,200
  6. Step 6: Final answer
    x = 615,286.58

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.