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Finding the Third Proportional to 223,098 and 327,206

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Solution

The third proportional to 223,098 and 327,206 is: 479,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,098 : 327,206 = 327,206 : x
  2. Step 2: Convert to fraction form
    223,098/327,206 = 327,206/x
  3. Step 3: Cross multiply
    223,098x = 327,206 × 327,206
  4. Step 4: Simplify right side
    223,098x = 107,063,766,436
  5. Step 5: Solve for x
    x = 107,063,766,436/223,098
  6. Step 6: Final answer
    x = 479,895.68

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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.