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Finding the Third Proportional to 178,997.25 and 386,010.75

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Solution

The third proportional to 178,997.25 and 386,010.75 is: 832,439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,997.25 : 386,010.75 = 386,010.75 : x
  2. Step 2: Convert to fraction form
    178,997.25/386,010.75 = 386,010.75/x
  3. Step 3: Cross multiply
    178,997.25x = 386,010.75 × 386,010.75
  4. Step 4: Simplify right side
    178,997.25x = 149,004,299,115.56
  5. Step 5: Solve for x
    x = 149,004,299,115.56/178,997.25
  6. Step 6: Final answer
    x = 832,439.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.