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Finding the Third Proportional to 200,550 and 300,868

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Solution

The third proportional to 200,550 and 300,868 is: 451,366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,550 : 300,868 = 300,868 : x
  2. Step 2: Convert to fraction form
    200,550/300,868 = 300,868/x
  3. Step 3: Cross multiply
    200,550x = 300,868 × 300,868
  4. Step 4: Simplify right side
    200,550x = 90,521,553,424
  5. Step 5: Solve for x
    x = 90,521,553,424/200,550
  6. Step 6: Final answer
    x = 451,366.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.