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Finding the Third Proportional to 220,404 and 327,364

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Solution

The third proportional to 220,404 and 327,364 is: 486,230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,404 : 327,364 = 327,364 : x
  2. Step 2: Convert to fraction form
    220,404/327,364 = 327,364/x
  3. Step 3: Cross multiply
    220,404x = 327,364 × 327,364
  4. Step 4: Simplify right side
    220,404x = 107,167,188,496
  5. Step 5: Solve for x
    x = 107,167,188,496/220,404
  6. Step 6: Final answer
    x = 486,230.69

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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.