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Finding the Third Proportional to 168.72 and 368.03

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Solution

The third proportional to 168.72 and 368.03 is: 802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.72 : 368.03 = 368.03 : x
  2. Step 2: Convert to fraction form
    168.72/368.03 = 368.03/x
  3. Step 3: Cross multiply
    168.72x = 368.03 × 368.03
  4. Step 4: Simplify right side
    168.72x = 135,446.01
  5. Step 5: Solve for x
    x = 135,446.01/168.72
  6. Step 6: Final answer
    x = 802.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.