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Finding the Third Proportional to 149,721 and 324,624

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Solution

The third proportional to 149,721 and 324,624 is: 703,847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,721 : 324,624 = 324,624 : x
  2. Step 2: Convert to fraction form
    149,721/324,624 = 324,624/x
  3. Step 3: Cross multiply
    149,721x = 324,624 × 324,624
  4. Step 4: Simplify right side
    149,721x = 105,380,741,376
  5. Step 5: Solve for x
    x = 105,380,741,376/149,721
  6. Step 6: Final answer
    x = 703,847.43

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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.