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Finding the Third Proportional to 197,758.97 and 274,645.69

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Solution

The third proportional to 197,758.97 and 274,645.69 is: 381,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,758.97 : 274,645.69 = 274,645.69 : x
  2. Step 2: Convert to fraction form
    197,758.97/274,645.69 = 274,645.69/x
  3. Step 3: Cross multiply
    197,758.97x = 274,645.69 × 274,645.69
  4. Step 4: Simplify right side
    197,758.97x = 75,430,253,662.35
  5. Step 5: Solve for x
    x = 75,430,253,662.35/197,758.97
  6. Step 6: Final answer
    x = 381,425.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.