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Finding the Third Proportional to 149,044 and 225,493

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Solution

The third proportional to 149,044 and 225,493 is: 341,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,044 : 225,493 = 225,493 : x
  2. Step 2: Convert to fraction form
    149,044/225,493 = 225,493/x
  3. Step 3: Cross multiply
    149,044x = 225,493 × 225,493
  4. Step 4: Simplify right side
    149,044x = 50,847,093,049
  5. Step 5: Solve for x
    x = 50,847,093,049/149,044
  6. Step 6: Final answer
    x = 341,154.91

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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.