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Finding the Third Proportional to 200,747 and 275,274

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Solution

The third proportional to 200,747 and 275,274 is: 377,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,747 : 275,274 = 275,274 : x
  2. Step 2: Convert to fraction form
    200,747/275,274 = 275,274/x
  3. Step 3: Cross multiply
    200,747x = 275,274 × 275,274
  4. Step 4: Simplify right side
    200,747x = 75,775,775,076
  5. Step 5: Solve for x
    x = 75,775,775,076/200,747
  6. Step 6: Final answer
    x = 377,469.03

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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.