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Finding the Third Proportional to 150,208 and 231,936

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Solution

The third proportional to 150,208 and 231,936 is: 358,132.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,208 : 231,936 = 231,936 : x
  2. Step 2: Convert to fraction form
    150,208/231,936 = 231,936/x
  3. Step 3: Cross multiply
    150,208x = 231,936 × 231,936
  4. Step 4: Simplify right side
    150,208x = 53,794,308,096
  5. Step 5: Solve for x
    x = 53,794,308,096/150,208
  6. Step 6: Final answer
    x = 358,132.11

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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.