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Finding the Third Proportional to 200,727 and 275,241

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Solution

The third proportional to 200,727 and 275,241 is: 377,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,727 : 275,241 = 275,241 : x
  2. Step 2: Convert to fraction form
    200,727/275,241 = 275,241/x
  3. Step 3: Cross multiply
    200,727x = 275,241 × 275,241
  4. Step 4: Simplify right side
    200,727x = 75,757,608,081
  5. Step 5: Solve for x
    x = 75,757,608,081/200,727
  6. Step 6: Final answer
    x = 377,416.13

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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.