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Finding the Third Proportional to 150,591.94 and 327,427.88

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Solution

The third proportional to 150,591.94 and 327,427.88 is: 711,917.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,591.94 : 327,427.88 = 327,427.88 : x
  2. Step 2: Convert to fraction form
    150,591.94/327,427.88 = 327,427.88/x
  3. Step 3: Cross multiply
    150,591.94x = 327,427.88 × 327,427.88
  4. Step 4: Simplify right side
    150,591.94x = 107,209,013,327.02
  5. Step 5: Solve for x
    x = 107,209,013,327.02/150,591.94
  6. Step 6: Final answer
    x = 711,917.35

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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.