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Finding the Third Proportional to 150,642 and 324,624

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Solution

The third proportional to 150,642 and 324,624 is: 699,544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,642 : 324,624 = 324,624 : x
  2. Step 2: Convert to fraction form
    150,642/324,624 = 324,624/x
  3. Step 3: Cross multiply
    150,642x = 324,624 × 324,624
  4. Step 4: Simplify right side
    150,642x = 105,380,741,376
  5. Step 5: Solve for x
    x = 105,380,741,376/150,642
  6. Step 6: Final answer
    x = 699,544.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.