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Finding the Third Proportional to 135 and 205.17

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Solution

The third proportional to 135 and 205.17 is: 311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135 : 205.17 = 205.17 : x
  2. Step 2: Convert to fraction form
    135/205.17 = 205.17/x
  3. Step 3: Cross multiply
    135x = 205.17 × 205.17
  4. Step 4: Simplify right side
    135x = 42,095.50
  5. Step 5: Solve for x
    x = 42,095.50/135
  6. Step 6: Final answer
    x = 311.82

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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.