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Finding the Third Proportional to 200,833 and 290,192

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Solution

The third proportional to 200,833 and 290,192 is: 419,310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,833 : 290,192 = 290,192 : x
  2. Step 2: Convert to fraction form
    200,833/290,192 = 290,192/x
  3. Step 3: Cross multiply
    200,833x = 290,192 × 290,192
  4. Step 4: Simplify right side
    200,833x = 84,211,396,864
  5. Step 5: Solve for x
    x = 84,211,396,864/200,833
  6. Step 6: Final answer
    x = 419,310.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.