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Finding the Third Proportional to 205,916 and 451,198

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Solution

The third proportional to 205,916 and 451,198 is: 988,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,916 : 451,198 = 451,198 : x
  2. Step 2: Convert to fraction form
    205,916/451,198 = 451,198/x
  3. Step 3: Cross multiply
    205,916x = 451,198 × 451,198
  4. Step 4: Simplify right side
    205,916x = 203,579,635,204
  5. Step 5: Solve for x
    x = 203,579,635,204/205,916
  6. Step 6: Final answer
    x = 988,653.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.