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Finding the Third Proportional to 226,741.50 and 327,771.56

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Solution

The third proportional to 226,741.50 and 327,771.56 is: 473,817.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,741.50 : 327,771.56 = 327,771.56 : x
  2. Step 2: Convert to fraction form
    226,741.50/327,771.56 = 327,771.56/x
  3. Step 3: Cross multiply
    226,741.50x = 327,771.56 × 327,771.56
  4. Step 4: Simplify right side
    226,741.50x = 107,434,197,183.69
  5. Step 5: Solve for x
    x = 107,434,197,183.69/226,741.50
  6. Step 6: Final answer
    x = 473,817.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.