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Finding the Third Proportional to 198,856 and 301,177

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Solution

The third proportional to 198,856 and 301,177 is: 456,147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,856 : 301,177 = 301,177 : x
  2. Step 2: Convert to fraction form
    198,856/301,177 = 301,177/x
  3. Step 3: Cross multiply
    198,856x = 301,177 × 301,177
  4. Step 4: Simplify right side
    198,856x = 90,707,585,329
  5. Step 5: Solve for x
    x = 90,707,585,329/198,856
  6. Step 6: Final answer
    x = 456,147.09

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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.