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Finding the Third Proportional to 192,967 and 298,198

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Solution

The third proportional to 192,967 and 298,198 is: 460,814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,967 : 298,198 = 298,198 : x
  2. Step 2: Convert to fraction form
    192,967/298,198 = 298,198/x
  3. Step 3: Cross multiply
    192,967x = 298,198 × 298,198
  4. Step 4: Simplify right side
    192,967x = 88,922,047,204
  5. Step 5: Solve for x
    x = 88,922,047,204/192,967
  6. Step 6: Final answer
    x = 460,814.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.