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Finding the Third Proportional to 168.94 and 370.32

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Solution

The third proportional to 168.94 and 370.32 is: 811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.94 : 370.32 = 370.32 : x
  2. Step 2: Convert to fraction form
    168.94/370.32 = 370.32/x
  3. Step 3: Cross multiply
    168.94x = 370.32 × 370.32
  4. Step 4: Simplify right side
    168.94x = 137,135.18
  5. Step 5: Solve for x
    x = 137,135.18/168.94
  6. Step 6: Final answer
    x = 811.74

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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.