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Finding the Third Proportional to 149,195 and 324,624

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Solution

The third proportional to 149,195 and 324,624 is: 706,328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,195 : 324,624 = 324,624 : x
  2. Step 2: Convert to fraction form
    149,195/324,624 = 324,624/x
  3. Step 3: Cross multiply
    149,195x = 324,624 × 324,624
  4. Step 4: Simplify right side
    149,195x = 105,380,741,376
  5. Step 5: Solve for x
    x = 105,380,741,376/149,195
  6. Step 6: Final answer
    x = 706,328.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.