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Finding the Third Proportional to 197,610.26 and 425,191.78

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Solution

The third proportional to 197,610.26 and 425,191.78 is: 914,871.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,610.26 : 425,191.78 = 425,191.78 : x
  2. Step 2: Convert to fraction form
    197,610.26/425,191.78 = 425,191.78/x
  3. Step 3: Cross multiply
    197,610.26x = 425,191.78 × 425,191.78
  4. Step 4: Simplify right side
    197,610.26x = 180,788,050,842.55
  5. Step 5: Solve for x
    x = 180,788,050,842.55/197,610.26
  6. Step 6: Final answer
    x = 914,871.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.