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Finding the Third Proportional to 154,183.50 and 231,275.25

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Solution

The third proportional to 154,183.50 and 231,275.25 is: 346,912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,183.50 : 231,275.25 = 231,275.25 : x
  2. Step 2: Convert to fraction form
    154,183.50/231,275.25 = 231,275.25/x
  3. Step 3: Cross multiply
    154,183.50x = 231,275.25 × 231,275.25
  4. Step 4: Simplify right side
    154,183.50x = 53,488,241,262.56
  5. Step 5: Solve for x
    x = 53,488,241,262.56/154,183.50
  6. Step 6: Final answer
    x = 346,912.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.