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Finding the Third Proportional to 166.85 and 366.19

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Solution

The third proportional to 166.85 and 366.19 is: 803.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.85 : 366.19 = 366.19 : x
  2. Step 2: Convert to fraction form
    166.85/366.19 = 366.19/x
  3. Step 3: Cross multiply
    166.85x = 366.19 × 366.19
  4. Step 4: Simplify right side
    166.85x = 134,093.29
  5. Step 5: Solve for x
    x = 134,093.29/166.85
  6. Step 6: Final answer
    x = 803.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.