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Finding the Third Proportional to 168.36 and 260.05

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Solution

The third proportional to 168.36 and 260.05 is: 401.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.36 : 260.05 = 260.05 : x
  2. Step 2: Convert to fraction form
    168.36/260.05 = 260.05/x
  3. Step 3: Cross multiply
    168.36x = 260.05 × 260.05
  4. Step 4: Simplify right side
    168.36x = 67,626.41
  5. Step 5: Solve for x
    x = 67,626.41/168.36
  6. Step 6: Final answer
    x = 401.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.