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Finding the Third Proportional to 126,273 and 278,790

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Solution

The third proportional to 126,273 and 278,790 is: 615,522.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,273 : 278,790 = 278,790 : x
  2. Step 2: Convert to fraction form
    126,273/278,790 = 278,790/x
  3. Step 3: Cross multiply
    126,273x = 278,790 × 278,790
  4. Step 4: Simplify right side
    126,273x = 77,723,864,100
  5. Step 5: Solve for x
    x = 77,723,864,100/126,273
  6. Step 6: Final answer
    x = 615,522.43

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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.