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Finding the Third Proportional to 126,340 and 274,952

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Solution

The third proportional to 126,340 and 274,952 is: 598,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,340 : 274,952 = 274,952 : x
  2. Step 2: Convert to fraction form
    126,340/274,952 = 274,952/x
  3. Step 3: Cross multiply
    126,340x = 274,952 × 274,952
  4. Step 4: Simplify right side
    126,340x = 75,598,602,304
  5. Step 5: Solve for x
    x = 75,598,602,304/126,340
  6. Step 6: Final answer
    x = 598,374.25

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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.