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Finding the Third Proportional to 199.50 and 429

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Solution

The third proportional to 199.50 and 429 is: 922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.50 : 429 = 429 : x
  2. Step 2: Convert to fraction form
    199.50/429 = 429/x
  3. Step 3: Cross multiply
    199.50x = 429 × 429
  4. Step 4: Simplify right side
    199.50x = 184,041
  5. Step 5: Solve for x
    x = 184,041/199.50
  6. Step 6: Final answer
    x = 922.51

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