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Finding the Third Proportional to 273.94 and 301.78

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Solution

The third proportional to 273.94 and 301.78 is: 332.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.94 : 301.78 = 301.78 : x
  2. Step 2: Convert to fraction form
    273.94/301.78 = 301.78/x
  3. Step 3: Cross multiply
    273.94x = 301.78 × 301.78
  4. Step 4: Simplify right side
    273.94x = 91,071.92
  5. Step 5: Solve for x
    x = 91,071.92/273.94
  6. Step 6: Final answer
    x = 332.46

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.