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Finding the Third Proportional to 200,420 and 280,216

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Solution

The third proportional to 200,420 and 280,216 is: 391,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,420 : 280,216 = 280,216 : x
  2. Step 2: Convert to fraction form
    200,420/280,216 = 280,216/x
  3. Step 3: Cross multiply
    200,420x = 280,216 × 280,216
  4. Step 4: Simplify right side
    200,420x = 78,521,006,656
  5. Step 5: Solve for x
    x = 78,521,006,656/200,420
  6. Step 6: Final answer
    x = 391,782.29

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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.