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Finding the Third Proportional to 138.23 and 202.36

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Solution

The third proportional to 138.23 and 202.36 is: 296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.23 : 202.36 = 202.36 : x
  2. Step 2: Convert to fraction form
    138.23/202.36 = 202.36/x
  3. Step 3: Cross multiply
    138.23x = 202.36 × 202.36
  4. Step 4: Simplify right side
    138.23x = 40,949.32
  5. Step 5: Solve for x
    x = 40,949.32/138.23
  6. Step 6: Final answer
    x = 296.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.