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Finding the Third Proportional to 199,736 and 303,693

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Solution

The third proportional to 199,736 and 303,693 is: 461,756.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,736 : 303,693 = 303,693 : x
  2. Step 2: Convert to fraction form
    199,736/303,693 = 303,693/x
  3. Step 3: Cross multiply
    199,736x = 303,693 × 303,693
  4. Step 4: Simplify right side
    199,736x = 92,229,438,249
  5. Step 5: Solve for x
    x = 92,229,438,249/199,736
  6. Step 6: Final answer
    x = 461,756.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.