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Finding the Third Proportional to 200,727 and 275,242

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Solution

The third proportional to 200,727 and 275,242 is: 377,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,727 : 275,242 = 275,242 : x
  2. Step 2: Convert to fraction form
    200,727/275,242 = 275,242/x
  3. Step 3: Cross multiply
    200,727x = 275,242 × 275,242
  4. Step 4: Simplify right side
    200,727x = 75,758,158,564
  5. Step 5: Solve for x
    x = 75,758,158,564/200,727
  6. Step 6: Final answer
    x = 377,418.88

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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.