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Finding the Third Proportional to 126,966 and 278,840

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Solution

The third proportional to 126,966 and 278,840 is: 612,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,966 : 278,840 = 278,840 : x
  2. Step 2: Convert to fraction form
    126,966/278,840 = 278,840/x
  3. Step 3: Cross multiply
    126,966x = 278,840 × 278,840
  4. Step 4: Simplify right side
    126,966x = 77,751,745,600
  5. Step 5: Solve for x
    x = 77,751,745,600/126,966
  6. Step 6: Final answer
    x = 612,382.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.