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Finding the Third Proportional to 138 and 190.50

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Solution

The third proportional to 138 and 190.50 is: 262.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138 : 190.50 = 190.50 : x
  2. Step 2: Convert to fraction form
    138/190.50 = 190.50/x
  3. Step 3: Cross multiply
    138x = 190.50 × 190.50
  4. Step 4: Simplify right side
    138x = 36,290.25
  5. Step 5: Solve for x
    x = 36,290.25/138
  6. Step 6: Final answer
    x = 262.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.