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Finding the Third Proportional to 218,794 and 327,826

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Solution

The third proportional to 218,794 and 327,826 is: 491,192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,794 : 327,826 = 327,826 : x
  2. Step 2: Convert to fraction form
    218,794/327,826 = 327,826/x
  3. Step 3: Cross multiply
    218,794x = 327,826 × 327,826
  4. Step 4: Simplify right side
    218,794x = 107,469,886,276
  5. Step 5: Solve for x
    x = 107,469,886,276/218,794
  6. Step 6: Final answer
    x = 491,192.11

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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.