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Finding the Third Proportional to 200,333 and 408,086

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Solution

The third proportional to 200,333 and 408,086 is: 831,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,333 : 408,086 = 408,086 : x
  2. Step 2: Convert to fraction form
    200,333/408,086 = 408,086/x
  3. Step 3: Cross multiply
    200,333x = 408,086 × 408,086
  4. Step 4: Simplify right side
    200,333x = 166,534,183,396
  5. Step 5: Solve for x
    x = 166,534,183,396/200,333
  6. Step 6: Final answer
    x = 831,286.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.