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Finding the Third Proportional to 220,396 and 327,353

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Solution

The third proportional to 220,396 and 327,353 is: 486,215.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,396 : 327,353 = 327,353 : x
  2. Step 2: Convert to fraction form
    220,396/327,353 = 327,353/x
  3. Step 3: Cross multiply
    220,396x = 327,353 × 327,353
  4. Step 4: Simplify right side
    220,396x = 107,159,986,609
  5. Step 5: Solve for x
    x = 107,159,986,609/220,396
  6. Step 6: Final answer
    x = 486,215.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.