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Finding the Third Proportional to 192,954 and 298,182

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Solution

The third proportional to 192,954 and 298,182 is: 460,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,954 : 298,182 = 298,182 : x
  2. Step 2: Convert to fraction form
    192,954/298,182 = 298,182/x
  3. Step 3: Cross multiply
    192,954x = 298,182 × 298,182
  4. Step 4: Simplify right side
    192,954x = 88,912,505,124
  5. Step 5: Solve for x
    x = 88,912,505,124/192,954
  6. Step 6: Final answer
    x = 460,796.38

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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.