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Finding the Third Proportional to 138.23 and 202.54

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Solution

The third proportional to 138.23 and 202.54 is: 296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.23 : 202.54 = 202.54 : x
  2. Step 2: Convert to fraction form
    138.23/202.54 = 202.54/x
  3. Step 3: Cross multiply
    138.23x = 202.54 × 202.54
  4. Step 4: Simplify right side
    138.23x = 41,022.27
  5. Step 5: Solve for x
    x = 41,022.27/138.23
  6. Step 6: Final answer
    x = 296.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.