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Finding the Third Proportional to 138 and 306.38

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Solution

The third proportional to 138 and 306.38 is: 680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138 : 306.38 = 306.38 : x
  2. Step 2: Convert to fraction form
    138/306.38 = 306.38/x
  3. Step 3: Cross multiply
    138x = 306.38 × 306.38
  4. Step 4: Simplify right side
    138x = 93,865.64
  5. Step 5: Solve for x
    x = 93,865.64/138
  6. Step 6: Final answer
    x = 680.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.