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Finding the Third Proportional to 126,342 and 274,956

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Solution

The third proportional to 126,342 and 274,956 is: 598,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,342 : 274,956 = 274,956 : x
  2. Step 2: Convert to fraction form
    126,342/274,956 = 274,956/x
  3. Step 3: Cross multiply
    126,342x = 274,956 × 274,956
  4. Step 4: Simplify right side
    126,342x = 75,600,801,936
  5. Step 5: Solve for x
    x = 75,600,801,936/126,342
  6. Step 6: Final answer
    x = 598,382.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.