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Finding the Third Proportional to 200,683 and 275,193

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Solution

The third proportional to 200,683 and 275,193 is: 377,367.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,683 : 275,193 = 275,193 : x
  2. Step 2: Convert to fraction form
    200,683/275,193 = 275,193/x
  3. Step 3: Cross multiply
    200,683x = 275,193 × 275,193
  4. Step 4: Simplify right side
    200,683x = 75,731,187,249
  5. Step 5: Solve for x
    x = 75,731,187,249/200,683
  6. Step 6: Final answer
    x = 377,367.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.