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Finding the Third Proportional to 150,649 and 327,512

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Solution

The third proportional to 150,649 and 327,512 is: 712,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,649 : 327,512 = 327,512 : x
  2. Step 2: Convert to fraction form
    150,649/327,512 = 327,512/x
  3. Step 3: Cross multiply
    150,649x = 327,512 × 327,512
  4. Step 4: Simplify right side
    150,649x = 107,264,110,144
  5. Step 5: Solve for x
    x = 107,264,110,144/150,649
  6. Step 6: Final answer
    x = 712,013.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.