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Finding the Third Proportional to 203,982 and 286,744

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Solution

The third proportional to 203,982 and 286,744 is: 403,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,982 : 286,744 = 286,744 : x
  2. Step 2: Convert to fraction form
    203,982/286,744 = 286,744/x
  3. Step 3: Cross multiply
    203,982x = 286,744 × 286,744
  4. Step 4: Simplify right side
    203,982x = 82,222,121,536
  5. Step 5: Solve for x
    x = 82,222,121,536/203,982
  6. Step 6: Final answer
    x = 403,085.18

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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.