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Finding the Third Proportional to 220,391.25 and 327,346.50

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Solution

The third proportional to 220,391.25 and 327,346.50 is: 486,206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,391.25 : 327,346.50 = 327,346.50 : x
  2. Step 2: Convert to fraction form
    220,391.25/327,346.50 = 327,346.50/x
  3. Step 3: Cross multiply
    220,391.25x = 327,346.50 × 327,346.50
  4. Step 4: Simplify right side
    220,391.25x = 107,155,731,062.25
  5. Step 5: Solve for x
    x = 107,155,731,062.25/220,391.25
  6. Step 6: Final answer
    x = 486,206.83

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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.