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Finding the Third Proportional to 192,171 and 280,851

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Solution

The third proportional to 192,171 and 280,851 is: 410,453.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,171 : 280,851 = 280,851 : x
  2. Step 2: Convert to fraction form
    192,171/280,851 = 280,851/x
  3. Step 3: Cross multiply
    192,171x = 280,851 × 280,851
  4. Step 4: Simplify right side
    192,171x = 78,877,284,201
  5. Step 5: Solve for x
    x = 78,877,284,201/192,171
  6. Step 6: Final answer
    x = 410,453.63

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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.