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Finding the Third Proportional to 135.26 and 306.12

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Solution

The third proportional to 135.26 and 306.12 is: 692.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.26 : 306.12 = 306.12 : x
  2. Step 2: Convert to fraction form
    135.26/306.12 = 306.12/x
  3. Step 3: Cross multiply
    135.26x = 306.12 × 306.12
  4. Step 4: Simplify right side
    135.26x = 93,711.32
  5. Step 5: Solve for x
    x = 93,711.32/135.26
  6. Step 6: Final answer
    x = 692.80

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.