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Finding the Third Proportional to 294 and 323

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Solution

The third proportional to 294 and 323 is: 354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294 : 323 = 323 : x
  2. Step 2: Convert to fraction form
    294/323 = 323/x
  3. Step 3: Cross multiply
    294x = 323 × 323
  4. Step 4: Simplify right side
    294x = 104,329
  5. Step 5: Solve for x
    x = 104,329/294
  6. Step 6: Final answer
    x = 354.86

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