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Finding the Third Proportional to 150,739 and 327,721

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Solution

The third proportional to 150,739 and 327,721 is: 712,496.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,739 : 327,721 = 327,721 : x
  2. Step 2: Convert to fraction form
    150,739/327,721 = 327,721/x
  3. Step 3: Cross multiply
    150,739x = 327,721 × 327,721
  4. Step 4: Simplify right side
    150,739x = 107,401,053,841
  5. Step 5: Solve for x
    x = 107,401,053,841/150,739
  6. Step 6: Final answer
    x = 712,496.79

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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.