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Finding the Third Proportional to 103.57 and 224.02

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Solution

The third proportional to 103.57 and 224.02 is: 484.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.57 : 224.02 = 224.02 : x
  2. Step 2: Convert to fraction form
    103.57/224.02 = 224.02/x
  3. Step 3: Cross multiply
    103.57x = 224.02 × 224.02
  4. Step 4: Simplify right side
    103.57x = 50,183.00
  5. Step 5: Solve for x
    x = 50,183.00/103.57
  6. Step 6: Final answer
    x = 484.53

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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.