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Finding the Third Proportional to 150,603 and 327,451

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Solution

The third proportional to 150,603 and 327,451 is: 711,965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,603 : 327,451 = 327,451 : x
  2. Step 2: Convert to fraction form
    150,603/327,451 = 327,451/x
  3. Step 3: Cross multiply
    150,603x = 327,451 × 327,451
  4. Step 4: Simplify right side
    150,603x = 107,224,157,401
  5. Step 5: Solve for x
    x = 107,224,157,401/150,603
  6. Step 6: Final answer
    x = 711,965.61

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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.