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Finding the Third Proportional to 117 and 185.91

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Solution

The third proportional to 117 and 185.91 is: 295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117 : 185.91 = 185.91 : x
  2. Step 2: Convert to fraction form
    117/185.91 = 185.91/x
  3. Step 3: Cross multiply
    117x = 185.91 × 185.91
  4. Step 4: Simplify right side
    117x = 34,561.13
  5. Step 5: Solve for x
    x = 34,561.13/117
  6. Step 6: Final answer
    x = 295.39

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