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Finding the Third Proportional to 204,576 and 275,187.75

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Solution

The third proportional to 204,576 and 275,187.75 is: 370,171.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,576 : 275,187.75 = 275,187.75 : x
  2. Step 2: Convert to fraction form
    204,576/275,187.75 = 275,187.75/x
  3. Step 3: Cross multiply
    204,576x = 275,187.75 × 275,187.75
  4. Step 4: Simplify right side
    204,576x = 75,728,297,750.06
  5. Step 5: Solve for x
    x = 75,728,297,750.06/204,576
  6. Step 6: Final answer
    x = 370,171.95

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.