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Finding the Third Proportional to 200,923 and 303,974

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Solution

The third proportional to 200,923 and 303,974 is: 459,878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,923 : 303,974 = 303,974 : x
  2. Step 2: Convert to fraction form
    200,923/303,974 = 303,974/x
  3. Step 3: Cross multiply
    200,923x = 303,974 × 303,974
  4. Step 4: Simplify right side
    200,923x = 92,400,192,676
  5. Step 5: Solve for x
    x = 92,400,192,676/200,923
  6. Step 6: Final answer
    x = 459,878.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.