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Finding the Third Proportional to 150,642.50 and 199,923

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Solution

The third proportional to 150,642.50 and 199,923 is: 265,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,642.50 : 199,923 = 199,923 : x
  2. Step 2: Convert to fraction form
    150,642.50/199,923 = 199,923/x
  3. Step 3: Cross multiply
    150,642.50x = 199,923 × 199,923
  4. Step 4: Simplify right side
    150,642.50x = 39,969,205,929
  5. Step 5: Solve for x
    x = 39,969,205,929/150,642.50
  6. Step 6: Final answer
    x = 265,324.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.