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Finding the Third Proportional to 200,017 and 281,348

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Solution

The third proportional to 200,017 and 281,348 is: 395,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,017 : 281,348 = 281,348 : x
  2. Step 2: Convert to fraction form
    200,017/281,348 = 281,348/x
  3. Step 3: Cross multiply
    200,017x = 281,348 × 281,348
  4. Step 4: Simplify right side
    200,017x = 79,156,697,104
  5. Step 5: Solve for x
    x = 79,156,697,104/200,017
  6. Step 6: Final answer
    x = 395,749.85

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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.