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Finding the Third Proportional to 199,455.75 and 303,797.25

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Solution

The third proportional to 199,455.75 and 303,797.25 is: 462,723.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,455.75 : 303,797.25 = 303,797.25 : x
  2. Step 2: Convert to fraction form
    199,455.75/303,797.25 = 303,797.25/x
  3. Step 3: Cross multiply
    199,455.75x = 303,797.25 × 303,797.25
  4. Step 4: Simplify right side
    199,455.75x = 92,292,769,107.56
  5. Step 5: Solve for x
    x = 92,292,769,107.56/199,455.75
  6. Step 6: Final answer
    x = 462,723.03

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