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Finding the Third Proportional to 263.63 and 342.75

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Solution

The third proportional to 263.63 and 342.75 is: 445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.63 : 342.75 = 342.75 : x
  2. Step 2: Convert to fraction form
    263.63/342.75 = 342.75/x
  3. Step 3: Cross multiply
    263.63x = 342.75 × 342.75
  4. Step 4: Simplify right side
    263.63x = 117,477.56
  5. Step 5: Solve for x
    x = 117,477.56/263.63
  6. Step 6: Final answer
    x = 445.62

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