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Finding the Third Proportional to 68.26 and 154.17

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Solution

The third proportional to 68.26 and 154.17 is: 348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.26 : 154.17 = 154.17 : x
  2. Step 2: Convert to fraction form
    68.26/154.17 = 154.17/x
  3. Step 3: Cross multiply
    68.26x = 154.17 × 154.17
  4. Step 4: Simplify right side
    68.26x = 23,768.06
  5. Step 5: Solve for x
    x = 23,768.06/68.26
  6. Step 6: Final answer
    x = 348.18

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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.