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Finding the Third Proportional to 184.94 and 262.97

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Solution

The third proportional to 184.94 and 262.97 is: 373.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.94 : 262.97 = 262.97 : x
  2. Step 2: Convert to fraction form
    184.94/262.97 = 262.97/x
  3. Step 3: Cross multiply
    184.94x = 262.97 × 262.97
  4. Step 4: Simplify right side
    184.94x = 69,152.56
  5. Step 5: Solve for x
    x = 69,152.56/184.94
  6. Step 6: Final answer
    x = 373.92

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.