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Finding the Third Proportional to 135.88 and 222.94

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Solution

The third proportional to 135.88 and 222.94 is: 365.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.88 : 222.94 = 222.94 : x
  2. Step 2: Convert to fraction form
    135.88/222.94 = 222.94/x
  3. Step 3: Cross multiply
    135.88x = 222.94 × 222.94
  4. Step 4: Simplify right side
    135.88x = 49,701.13
  5. Step 5: Solve for x
    x = 49,701.13/135.88
  6. Step 6: Final answer
    x = 365.79

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.