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Finding the Third Proportional to 223,092 and 327,198

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Solution

The third proportional to 223,092 and 327,198 is: 479,885.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,092 : 327,198 = 327,198 : x
  2. Step 2: Convert to fraction form
    223,092/327,198 = 327,198/x
  3. Step 3: Cross multiply
    223,092x = 327,198 × 327,198
  4. Step 4: Simplify right side
    223,092x = 107,058,531,204
  5. Step 5: Solve for x
    x = 107,058,531,204/223,092
  6. Step 6: Final answer
    x = 479,885.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.