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Finding the Third Proportional to 131,219 and 267,974.25

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Solution

The third proportional to 131,219 and 267,974.25 is: 547,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,219 : 267,974.25 = 267,974.25 : x
  2. Step 2: Convert to fraction form
    131,219/267,974.25 = 267,974.25/x
  3. Step 3: Cross multiply
    131,219x = 267,974.25 × 267,974.25
  4. Step 4: Simplify right side
    131,219x = 71,810,198,663.06
  5. Step 5: Solve for x
    x = 71,810,198,663.06/131,219
  6. Step 6: Final answer
    x = 547,254.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.