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Finding the Third Proportional to 205,962 and 446,177

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Solution

The third proportional to 205,962 and 446,177 is: 966,556.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,962 : 446,177 = 446,177 : x
  2. Step 2: Convert to fraction form
    205,962/446,177 = 446,177/x
  3. Step 3: Cross multiply
    205,962x = 446,177 × 446,177
  4. Step 4: Simplify right side
    205,962x = 199,073,915,329
  5. Step 5: Solve for x
    x = 199,073,915,329/205,962
  6. Step 6: Final answer
    x = 966,556.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.