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Finding the Third Proportional to 133.94 and 202.88

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Solution

The third proportional to 133.94 and 202.88 is: 307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.94 : 202.88 = 202.88 : x
  2. Step 2: Convert to fraction form
    133.94/202.88 = 202.88/x
  3. Step 3: Cross multiply
    133.94x = 202.88 × 202.88
  4. Step 4: Simplify right side
    133.94x = 41,158.27
  5. Step 5: Solve for x
    x = 41,158.27/133.94
  6. Step 6: Final answer
    x = 307.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.