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Finding the Third Proportional to 151,757.30 and 327,829.78

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Solution

The third proportional to 151,757.30 and 327,829.78 is: 708,185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,757.30 : 327,829.78 = 327,829.78 : x
  2. Step 2: Convert to fraction form
    151,757.30/327,829.78 = 327,829.78/x
  3. Step 3: Cross multiply
    151,757.30x = 327,829.78 × 327,829.78
  4. Step 4: Simplify right side
    151,757.30x = 107,472,365,474.42
  5. Step 5: Solve for x
    x = 107,472,365,474.42/151,757.30
  6. Step 6: Final answer
    x = 708,185.82

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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.