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Finding the Third Proportional to 107,204 and 217,324

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Solution

The third proportional to 107,204 and 217,324 is: 440,559.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,204 : 217,324 = 217,324 : x
  2. Step 2: Convert to fraction form
    107,204/217,324 = 217,324/x
  3. Step 3: Cross multiply
    107,204x = 217,324 × 217,324
  4. Step 4: Simplify right side
    107,204x = 47,229,720,976
  5. Step 5: Solve for x
    x = 47,229,720,976/107,204
  6. Step 6: Final answer
    x = 440,559.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.