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Finding the Third Proportional to 138.28 and 202.22

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Solution

The third proportional to 138.28 and 202.22 is: 295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.28 : 202.22 = 202.22 : x
  2. Step 2: Convert to fraction form
    138.28/202.22 = 202.22/x
  3. Step 3: Cross multiply
    138.28x = 202.22 × 202.22
  4. Step 4: Simplify right side
    138.28x = 40,892.42
  5. Step 5: Solve for x
    x = 40,892.42/138.28
  6. Step 6: Final answer
    x = 295.72

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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.