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Finding the Third Proportional to 149,976 and 313,812

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Solution

The third proportional to 149,976 and 313,812 is: 656,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,976 : 313,812 = 313,812 : x
  2. Step 2: Convert to fraction form
    149,976/313,812 = 313,812/x
  3. Step 3: Cross multiply
    149,976x = 313,812 × 313,812
  4. Step 4: Simplify right side
    149,976x = 98,477,971,344
  5. Step 5: Solve for x
    x = 98,477,971,344/149,976
  6. Step 6: Final answer
    x = 656,624.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.