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Finding the Third Proportional to 206,936 and 451,780

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Solution

The third proportional to 206,936 and 451,780 is: 986,320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,936 : 451,780 = 451,780 : x
  2. Step 2: Convert to fraction form
    206,936/451,780 = 451,780/x
  3. Step 3: Cross multiply
    206,936x = 451,780 × 451,780
  4. Step 4: Simplify right side
    206,936x = 204,105,168,400
  5. Step 5: Solve for x
    x = 204,105,168,400/206,936
  6. Step 6: Final answer
    x = 986,320.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.