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Finding the Third Proportional to 223,096 and 327,204

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Solution

The third proportional to 223,096 and 327,204 is: 479,894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,096 : 327,204 = 327,204 : x
  2. Step 2: Convert to fraction form
    223,096/327,204 = 327,204/x
  3. Step 3: Cross multiply
    223,096x = 327,204 × 327,204
  4. Step 4: Simplify right side
    223,096x = 107,062,457,616
  5. Step 5: Solve for x
    x = 107,062,457,616/223,096
  6. Step 6: Final answer
    x = 479,894.12

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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.