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Finding the Third Proportional to 200,008 and 281,336

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Solution

The third proportional to 200,008 and 281,336 is: 395,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,008 : 281,336 = 281,336 : x
  2. Step 2: Convert to fraction form
    200,008/281,336 = 281,336/x
  3. Step 3: Cross multiply
    200,008x = 281,336 × 281,336
  4. Step 4: Simplify right side
    200,008x = 79,149,944,896
  5. Step 5: Solve for x
    x = 79,149,944,896/200,008
  6. Step 6: Final answer
    x = 395,733.90

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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.