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Finding the Third Proportional to 151,544 and 231,928

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Solution

The third proportional to 151,544 and 231,928 is: 354,950.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,544 : 231,928 = 231,928 : x
  2. Step 2: Convert to fraction form
    151,544/231,928 = 231,928/x
  3. Step 3: Cross multiply
    151,544x = 231,928 × 231,928
  4. Step 4: Simplify right side
    151,544x = 53,790,597,184
  5. Step 5: Solve for x
    x = 53,790,597,184/151,544
  6. Step 6: Final answer
    x = 354,950.36

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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.