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Finding the Third Proportional to 131,581.97 and 276,912.42

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Solution

The third proportional to 131,581.97 and 276,912.42 is: 582,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,581.97 : 276,912.42 = 276,912.42 : x
  2. Step 2: Convert to fraction form
    131,581.97/276,912.42 = 276,912.42/x
  3. Step 3: Cross multiply
    131,581.97x = 276,912.42 × 276,912.42
  4. Step 4: Simplify right side
    131,581.97x = 76,680,489,388.68
  5. Step 5: Solve for x
    x = 76,680,489,388.68/131,581.97
  6. Step 6: Final answer
    x = 582,758.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.