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Finding the Third Proportional to 200,292 and 281,727

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Solution

The third proportional to 200,292 and 281,727 is: 396,271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,292 : 281,727 = 281,727 : x
  2. Step 2: Convert to fraction form
    200,292/281,727 = 281,727/x
  3. Step 3: Cross multiply
    200,292x = 281,727 × 281,727
  4. Step 4: Simplify right side
    200,292x = 79,370,102,529
  5. Step 5: Solve for x
    x = 79,370,102,529/200,292
  6. Step 6: Final answer
    x = 396,271.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.