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Finding the Third Proportional to 200,899 and 303,939

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Solution

The third proportional to 200,899 and 303,939 is: 459,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,899 : 303,939 = 303,939 : x
  2. Step 2: Convert to fraction form
    200,899/303,939 = 303,939/x
  3. Step 3: Cross multiply
    200,899x = 303,939 × 303,939
  4. Step 4: Simplify right side
    200,899x = 92,378,915,721
  5. Step 5: Solve for x
    x = 92,378,915,721/200,899
  6. Step 6: Final answer
    x = 459,827.65

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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.