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Finding the Third Proportional to 190.69 and 275.06

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Solution

The third proportional to 190.69 and 275.06 is: 396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.69 : 275.06 = 275.06 : x
  2. Step 2: Convert to fraction form
    190.69/275.06 = 275.06/x
  3. Step 3: Cross multiply
    190.69x = 275.06 × 275.06
  4. Step 4: Simplify right side
    190.69x = 75,659.38
  5. Step 5: Solve for x
    x = 75,659.38/190.69
  6. Step 6: Final answer
    x = 396.77

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.