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Finding the Third Proportional to 168.15 and 362.88

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Solution

The third proportional to 168.15 and 362.88 is: 783.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.15 : 362.88 = 362.88 : x
  2. Step 2: Convert to fraction form
    168.15/362.88 = 362.88/x
  3. Step 3: Cross multiply
    168.15x = 362.88 × 362.88
  4. Step 4: Simplify right side
    168.15x = 131,683.94
  5. Step 5: Solve for x
    x = 131,683.94/168.15
  6. Step 6: Final answer
    x = 783.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.