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Finding the Third Proportional to 197,452.69 and 410,086.13

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Solution

The third proportional to 197,452.69 and 410,086.13 is: 851,700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,452.69 : 410,086.13 = 410,086.13 : x
  2. Step 2: Convert to fraction form
    197,452.69/410,086.13 = 410,086.13/x
  3. Step 3: Cross multiply
    197,452.69x = 410,086.13 × 410,086.13
  4. Step 4: Simplify right side
    197,452.69x = 168,170,629,917.52
  5. Step 5: Solve for x
    x = 168,170,629,917.52/197,452.69
  6. Step 6: Final answer
    x = 851,700.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.