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Finding the Third Proportional to 217,975.50 and 327,179.25

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Solution

The third proportional to 217,975.50 and 327,179.25 is: 491,093.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,975.50 : 327,179.25 = 327,179.25 : x
  2. Step 2: Convert to fraction form
    217,975.50/327,179.25 = 327,179.25/x
  3. Step 3: Cross multiply
    217,975.50x = 327,179.25 × 327,179.25
  4. Step 4: Simplify right side
    217,975.50x = 107,046,261,630.56
  5. Step 5: Solve for x
    x = 107,046,261,630.56/217,975.50
  6. Step 6: Final answer
    x = 491,093.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.