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Finding the Third Proportional to 192,084.75 and 281,899.41

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Solution

The third proportional to 192,084.75 and 281,899.41 is: 413,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,084.75 : 281,899.41 = 281,899.41 : x
  2. Step 2: Convert to fraction form
    192,084.75/281,899.41 = 281,899.41/x
  3. Step 3: Cross multiply
    192,084.75x = 281,899.41 × 281,899.41
  4. Step 4: Simplify right side
    192,084.75x = 79,467,275,244.10
  5. Step 5: Solve for x
    x = 79,467,275,244.10/192,084.75
  6. Step 6: Final answer
    x = 413,709.44

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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.