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Finding the Third Proportional to 150,649 and 233,266

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Solution

The third proportional to 150,649 and 233,266 is: 361,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,649 : 233,266 = 233,266 : x
  2. Step 2: Convert to fraction form
    150,649/233,266 = 233,266/x
  3. Step 3: Cross multiply
    150,649x = 233,266 × 233,266
  4. Step 4: Simplify right side
    150,649x = 54,413,026,756
  5. Step 5: Solve for x
    x = 54,413,026,756/150,649
  6. Step 6: Final answer
    x = 361,190.76

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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.