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Finding the Third Proportional to 220,401 and 327,361.13

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Solution

The third proportional to 220,401 and 327,361.13 is: 486,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,401 : 327,361.13 = 327,361.13 : x
  2. Step 2: Convert to fraction form
    220,401/327,361.13 = 327,361.13/x
  3. Step 3: Cross multiply
    220,401x = 327,361.13 × 327,361.13
  4. Step 4: Simplify right side
    220,401x = 107,165,306,161.27
  5. Step 5: Solve for x
    x = 107,165,306,161.27/220,401
  6. Step 6: Final answer
    x = 486,228.77

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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.