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Finding the Third Proportional to 151,530 and 231,907

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Solution

The third proportional to 151,530 and 231,907 is: 354,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,530 : 231,907 = 231,907 : x
  2. Step 2: Convert to fraction form
    151,530/231,907 = 231,907/x
  3. Step 3: Cross multiply
    151,530x = 231,907 × 231,907
  4. Step 4: Simplify right side
    151,530x = 53,780,856,649
  5. Step 5: Solve for x
    x = 53,780,856,649/151,530
  6. Step 6: Final answer
    x = 354,918.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.