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Finding the Third Proportional to 149,744 and 327,622

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Solution

The third proportional to 149,744 and 327,622 is: 716,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,744 : 327,622 = 327,622 : x
  2. Step 2: Convert to fraction form
    149,744/327,622 = 327,622/x
  3. Step 3: Cross multiply
    149,744x = 327,622 × 327,622
  4. Step 4: Simplify right side
    149,744x = 107,336,174,884
  5. Step 5: Solve for x
    x = 107,336,174,884/149,744
  6. Step 6: Final answer
    x = 716,797.83

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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.