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Finding the Third Proportional to 168.63 and 224.84

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Solution

The third proportional to 168.63 and 224.84 is: 299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.63 : 224.84 = 224.84 : x
  2. Step 2: Convert to fraction form
    168.63/224.84 = 224.84/x
  3. Step 3: Cross multiply
    168.63x = 224.84 × 224.84
  4. Step 4: Simplify right side
    168.63x = 50,551.20
  5. Step 5: Solve for x
    x = 50,551.20/168.63
  6. Step 6: Final answer
    x = 299.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.