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Finding the Third Proportional to 126,344 and 274,960

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Solution

The third proportional to 126,344 and 274,960 is: 598,390.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,344 : 274,960 = 274,960 : x
  2. Step 2: Convert to fraction form
    126,344/274,960 = 274,960/x
  3. Step 3: Cross multiply
    126,344x = 274,960 × 274,960
  4. Step 4: Simplify right side
    126,344x = 75,603,001,600
  5. Step 5: Solve for x
    x = 75,603,001,600/126,344
  6. Step 6: Final answer
    x = 598,390.12

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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.