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Finding the Third Proportional to 220,414.50 and 327,381.75

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Solution

The third proportional to 220,414.50 and 327,381.75 is: 486,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,414.50 : 327,381.75 = 327,381.75 : x
  2. Step 2: Convert to fraction form
    220,414.50/327,381.75 = 327,381.75/x
  3. Step 3: Cross multiply
    220,414.50x = 327,381.75 × 327,381.75
  4. Step 4: Simplify right side
    220,414.50x = 107,178,810,233.06
  5. Step 5: Solve for x
    x = 107,178,810,233.06/220,414.50
  6. Step 6: Final answer
    x = 486,260.25

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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.