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Finding the Third Proportional to 149,874 and 225,801

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Solution

The third proportional to 149,874 and 225,801 is: 340,193.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,874 : 225,801 = 225,801 : x
  2. Step 2: Convert to fraction form
    149,874/225,801 = 225,801/x
  3. Step 3: Cross multiply
    149,874x = 225,801 × 225,801
  4. Step 4: Simplify right side
    149,874x = 50,986,091,601
  5. Step 5: Solve for x
    x = 50,986,091,601/149,874
  6. Step 6: Final answer
    x = 340,193.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.