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Finding the Third Proportional to 135.80 and 206.44

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Solution

The third proportional to 135.80 and 206.44 is: 313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.80 : 206.44 = 206.44 : x
  2. Step 2: Convert to fraction form
    135.80/206.44 = 206.44/x
  3. Step 3: Cross multiply
    135.80x = 206.44 × 206.44
  4. Step 4: Simplify right side
    135.80x = 42,616.44
  5. Step 5: Solve for x
    x = 42,616.44/135.80
  6. Step 6: Final answer
    x = 313.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.