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Finding the Third Proportional to 197,150 and 278,962

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Solution

The third proportional to 197,150 and 278,962 is: 394,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,150 : 278,962 = 278,962 : x
  2. Step 2: Convert to fraction form
    197,150/278,962 = 278,962/x
  3. Step 3: Cross multiply
    197,150x = 278,962 × 278,962
  4. Step 4: Simplify right side
    197,150x = 77,819,797,444
  5. Step 5: Solve for x
    x = 77,819,797,444/197,150
  6. Step 6: Final answer
    x = 394,723.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.