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Finding the Third Proportional to 192,100 and 281,922

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Solution

The third proportional to 192,100 and 281,922 is: 413,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,100 : 281,922 = 281,922 : x
  2. Step 2: Convert to fraction form
    192,100/281,922 = 281,922/x
  3. Step 3: Cross multiply
    192,100x = 281,922 × 281,922
  4. Step 4: Simplify right side
    192,100x = 79,480,014,084
  5. Step 5: Solve for x
    x = 79,480,014,084/192,100
  6. Step 6: Final answer
    x = 413,742.92

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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.