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Finding the Third Proportional to 137.67 and 313.17

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Solution

The third proportional to 137.67 and 313.17 is: 712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.67 : 313.17 = 313.17 : x
  2. Step 2: Convert to fraction form
    137.67/313.17 = 313.17/x
  3. Step 3: Cross multiply
    137.67x = 313.17 × 313.17
  4. Step 4: Simplify right side
    137.67x = 98,076.62
  5. Step 5: Solve for x
    x = 98,076.62/137.67
  6. Step 6: Final answer
    x = 712.39

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.