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Finding the Third Proportional to 202,668 and 451,938

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Solution

The third proportional to 202,668 and 451,938 is: 1,007,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,668 : 451,938 = 451,938 : x
  2. Step 2: Convert to fraction form
    202,668/451,938 = 451,938/x
  3. Step 3: Cross multiply
    202,668x = 451,938 × 451,938
  4. Step 4: Simplify right side
    202,668x = 204,247,955,844
  5. Step 5: Solve for x
    x = 204,247,955,844/202,668
  6. Step 6: Final answer
    x = 1,007,795.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.