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Finding the Third Proportional to 150,240 and 231,924

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Solution

The third proportional to 150,240 and 231,924 is: 358,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,240 : 231,924 = 231,924 : x
  2. Step 2: Convert to fraction form
    150,240/231,924 = 231,924/x
  3. Step 3: Cross multiply
    150,240x = 231,924 × 231,924
  4. Step 4: Simplify right side
    150,240x = 53,788,741,776
  5. Step 5: Solve for x
    x = 53,788,741,776/150,240
  6. Step 6: Final answer
    x = 358,018.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.