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Finding the Third Proportional to 126,188 and 278,620

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Solution

The third proportional to 126,188 and 278,620 is: 615,186.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,188 : 278,620 = 278,620 : x
  2. Step 2: Convert to fraction form
    126,188/278,620 = 278,620/x
  3. Step 3: Cross multiply
    126,188x = 278,620 × 278,620
  4. Step 4: Simplify right side
    126,188x = 77,629,104,400
  5. Step 5: Solve for x
    x = 77,629,104,400/126,188
  6. Step 6: Final answer
    x = 615,186.11

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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.