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Finding the Third Proportional to 168.49 and 368.28

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Solution

The third proportional to 168.49 and 368.28 is: 804.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.49 : 368.28 = 368.28 : x
  2. Step 2: Convert to fraction form
    168.49/368.28 = 368.28/x
  3. Step 3: Cross multiply
    168.49x = 368.28 × 368.28
  4. Step 4: Simplify right side
    168.49x = 135,631.08
  5. Step 5: Solve for x
    x = 135,631.08/168.49
  6. Step 6: Final answer
    x = 804.97

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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.