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Finding the Third Proportional to 151,414.31 and 327,908.25

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Solution

The third proportional to 151,414.31 and 327,908.25 is: 710,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,414.31 : 327,908.25 = 327,908.25 : x
  2. Step 2: Convert to fraction form
    151,414.31/327,908.25 = 327,908.25/x
  3. Step 3: Cross multiply
    151,414.31x = 327,908.25 × 327,908.25
  4. Step 4: Simplify right side
    151,414.31x = 107,523,820,418.06
  5. Step 5: Solve for x
    x = 107,523,820,418.06/151,414.31
  6. Step 6: Final answer
    x = 710,129.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.