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Finding the Third Proportional to 126,962 and 278,832

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Solution

The third proportional to 126,962 and 278,832 is: 612,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,962 : 278,832 = 278,832 : x
  2. Step 2: Convert to fraction form
    126,962/278,832 = 278,832/x
  3. Step 3: Cross multiply
    126,962x = 278,832 × 278,832
  4. Step 4: Simplify right side
    126,962x = 77,747,284,224
  5. Step 5: Solve for x
    x = 77,747,284,224/126,962
  6. Step 6: Final answer
    x = 612,366.57

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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.