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Finding the Third Proportional to 149,820 and 327,626

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Solution

The third proportional to 149,820 and 327,626 is: 716,451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,820 : 327,626 = 327,626 : x
  2. Step 2: Convert to fraction form
    149,820/327,626 = 327,626/x
  3. Step 3: Cross multiply
    149,820x = 327,626 × 327,626
  4. Step 4: Simplify right side
    149,820x = 107,338,795,876
  5. Step 5: Solve for x
    x = 107,338,795,876/149,820
  6. Step 6: Final answer
    x = 716,451.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.