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Finding the Third Proportional to 192,096 and 281,916

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Solution

The third proportional to 192,096 and 281,916 is: 413,733.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,096 : 281,916 = 281,916 : x
  2. Step 2: Convert to fraction form
    192,096/281,916 = 281,916/x
  3. Step 3: Cross multiply
    192,096x = 281,916 × 281,916
  4. Step 4: Simplify right side
    192,096x = 79,476,631,056
  5. Step 5: Solve for x
    x = 79,476,631,056/192,096
  6. Step 6: Final answer
    x = 413,733.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.