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Finding the Third Proportional to 190.83 and 232.78

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Solution

The third proportional to 190.83 and 232.78 is: 283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.83 : 232.78 = 232.78 : x
  2. Step 2: Convert to fraction form
    190.83/232.78 = 232.78/x
  3. Step 3: Cross multiply
    190.83x = 232.78 × 232.78
  4. Step 4: Simplify right side
    190.83x = 54,187.11
  5. Step 5: Solve for x
    x = 54,187.11/190.83
  6. Step 6: Final answer
    x = 283.96

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.