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Finding the Third Proportional to 200,414 and 280,206

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Solution

The third proportional to 200,414 and 280,206 is: 391,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,414 : 280,206 = 280,206 : x
  2. Step 2: Convert to fraction form
    200,414/280,206 = 280,206/x
  3. Step 3: Cross multiply
    200,414x = 280,206 × 280,206
  4. Step 4: Simplify right side
    200,414x = 78,515,402,436
  5. Step 5: Solve for x
    x = 78,515,402,436/200,414
  6. Step 6: Final answer
    x = 391,766.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.