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Finding the Third Proportional to 126,370 and 274,883

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Solution

The third proportional to 126,370 and 274,883 is: 597,931.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,370 : 274,883 = 274,883 : x
  2. Step 2: Convert to fraction form
    126,370/274,883 = 274,883/x
  3. Step 3: Cross multiply
    126,370x = 274,883 × 274,883
  4. Step 4: Simplify right side
    126,370x = 75,560,663,689
  5. Step 5: Solve for x
    x = 75,560,663,689/126,370
  6. Step 6: Final answer
    x = 597,931.98

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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.