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Finding the Third Proportional to 261.06 and 364.97

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Solution

The third proportional to 261.06 and 364.97 is: 510.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.06 : 364.97 = 364.97 : x
  2. Step 2: Convert to fraction form
    261.06/364.97 = 364.97/x
  3. Step 3: Cross multiply
    261.06x = 364.97 × 364.97
  4. Step 4: Simplify right side
    261.06x = 133,202.19
  5. Step 5: Solve for x
    x = 133,202.19/261.06
  6. Step 6: Final answer
    x = 510.23

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