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Finding the Third Proportional to 185 and 277.75

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Solution

The third proportional to 185 and 277.75 is: 417.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    185 : 277.75 = 277.75 : x
  2. Step 2: Convert to fraction form
    185/277.75 = 277.75/x
  3. Step 3: Cross multiply
    185x = 277.75 × 277.75
  4. Step 4: Simplify right side
    185x = 77,145.06
  5. Step 5: Solve for x
    x = 77,145.06/185
  6. Step 6: Final answer
    x = 417.00

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