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Finding the Third Proportional to 135.75 and 209.63

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Solution

The third proportional to 135.75 and 209.63 is: 323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.75 : 209.63 = 209.63 : x
  2. Step 2: Convert to fraction form
    135.75/209.63 = 209.63/x
  3. Step 3: Cross multiply
    135.75x = 209.63 × 209.63
  4. Step 4: Simplify right side
    135.75x = 43,942.64
  5. Step 5: Solve for x
    x = 43,942.64/135.75
  6. Step 6: Final answer
    x = 323.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.