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Finding the Third Proportional to 192,104 and 281,928

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Solution

The third proportional to 192,104 and 281,928 is: 413,751.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,104 : 281,928 = 281,928 : x
  2. Step 2: Convert to fraction form
    192,104/281,928 = 281,928/x
  3. Step 3: Cross multiply
    192,104x = 281,928 × 281,928
  4. Step 4: Simplify right side
    192,104x = 79,483,397,184
  5. Step 5: Solve for x
    x = 79,483,397,184/192,104
  6. Step 6: Final answer
    x = 413,751.91

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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.