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Finding the Third Proportional to 150,194.25 and 232,481.25

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Solution

The third proportional to 150,194.25 and 232,481.25 is: 359,850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,194.25 : 232,481.25 = 232,481.25 : x
  2. Step 2: Convert to fraction form
    150,194.25/232,481.25 = 232,481.25/x
  3. Step 3: Cross multiply
    150,194.25x = 232,481.25 × 232,481.25
  4. Step 4: Simplify right side
    150,194.25x = 54,047,531,601.56
  5. Step 5: Solve for x
    x = 54,047,531,601.56/150,194.25
  6. Step 6: Final answer
    x = 359,850.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.