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Finding the Third Proportional to 150,744 and 327,732

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Solution

The third proportional to 150,744 and 327,732 is: 712,520.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,744 : 327,732 = 327,732 : x
  2. Step 2: Convert to fraction form
    150,744/327,732 = 327,732/x
  3. Step 3: Cross multiply
    150,744x = 327,732 × 327,732
  4. Step 4: Simplify right side
    150,744x = 107,408,263,824
  5. Step 5: Solve for x
    x = 107,408,263,824/150,744
  6. Step 6: Final answer
    x = 712,520.99

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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.