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Finding the Third Proportional to 192,890 and 281,799

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Solution

The third proportional to 192,890 and 281,799 is: 411,688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,890 : 281,799 = 281,799 : x
  2. Step 2: Convert to fraction form
    192,890/281,799 = 281,799/x
  3. Step 3: Cross multiply
    192,890x = 281,799 × 281,799
  4. Step 4: Simplify right side
    192,890x = 79,410,676,401
  5. Step 5: Solve for x
    x = 79,410,676,401/192,890
  6. Step 6: Final answer
    x = 411,688.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.