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Finding the Third Proportional to 84.72 and 183.67

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Solution

The third proportional to 84.72 and 183.67 is: 398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.72 : 183.67 = 183.67 : x
  2. Step 2: Convert to fraction form
    84.72/183.67 = 183.67/x
  3. Step 3: Cross multiply
    84.72x = 183.67 × 183.67
  4. Step 4: Simplify right side
    84.72x = 33,736.08
  5. Step 5: Solve for x
    x = 33,736.08/84.72
  6. Step 6: Final answer
    x = 398.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.