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Finding the Third Proportional to 214,791.75 and 324,901.13

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Solution

The third proportional to 214,791.75 and 324,901.13 is: 491,456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,791.75 : 324,901.13 = 324,901.13 : x
  2. Step 2: Convert to fraction form
    214,791.75/324,901.13 = 324,901.13/x
  3. Step 3: Cross multiply
    214,791.75x = 324,901.13 × 324,901.13
  4. Step 4: Simplify right side
    214,791.75x = 105,560,741,026.27
  5. Step 5: Solve for x
    x = 105,560,741,026.27/214,791.75
  6. Step 6: Final answer
    x = 491,456.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.