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Finding the Third Proportional to 110.74 and 236.67

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Solution

The third proportional to 110.74 and 236.67 is: 505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.74 : 236.67 = 236.67 : x
  2. Step 2: Convert to fraction form
    110.74/236.67 = 236.67/x
  3. Step 3: Cross multiply
    110.74x = 236.67 × 236.67
  4. Step 4: Simplify right side
    110.74x = 56,013.58
  5. Step 5: Solve for x
    x = 56,013.58/110.74
  6. Step 6: Final answer
    x = 505.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.