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Finding the Third Proportional to 151,687.50 and 327,027.75

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Solution

The third proportional to 151,687.50 and 327,027.75 is: 705,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,687.50 : 327,027.75 = 327,027.75 : x
  2. Step 2: Convert to fraction form
    151,687.50/327,027.75 = 327,027.75/x
  3. Step 3: Cross multiply
    151,687.50x = 327,027.75 × 327,027.75
  4. Step 4: Simplify right side
    151,687.50x = 106,947,149,270.06
  5. Step 5: Solve for x
    x = 106,947,149,270.06/151,687.50
  6. Step 6: Final answer
    x = 705,049.19

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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.