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Finding the Third Proportional to 114.94 and 184.13

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Solution

The third proportional to 114.94 and 184.13 is: 294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.94 : 184.13 = 184.13 : x
  2. Step 2: Convert to fraction form
    114.94/184.13 = 184.13/x
  3. Step 3: Cross multiply
    114.94x = 184.13 × 184.13
  4. Step 4: Simplify right side
    114.94x = 33,902.02
  5. Step 5: Solve for x
    x = 33,902.02/114.94
  6. Step 6: Final answer
    x = 294.96

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.