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Finding the Third Proportional to 135.94 and 306.47

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Solution

The third proportional to 135.94 and 306.47 is: 690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.94 : 306.47 = 306.47 : x
  2. Step 2: Convert to fraction form
    135.94/306.47 = 306.47/x
  3. Step 3: Cross multiply
    135.94x = 306.47 × 306.47
  4. Step 4: Simplify right side
    135.94x = 93,923.09
  5. Step 5: Solve for x
    x = 93,923.09/135.94
  6. Step 6: Final answer
    x = 690.93

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.