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Finding the Third Proportional to 199.27 and 428.06

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Solution

The third proportional to 199.27 and 428.06 is: 919.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.27 : 428.06 = 428.06 : x
  2. Step 2: Convert to fraction form
    199.27/428.06 = 428.06/x
  3. Step 3: Cross multiply
    199.27x = 428.06 × 428.06
  4. Step 4: Simplify right side
    199.27x = 183,237.50
  5. Step 5: Solve for x
    x = 183,237.50/199.27
  6. Step 6: Final answer
    x = 919.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.