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Finding the Third Proportional to 102.52 and 224.02

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Solution

The third proportional to 102.52 and 224.02 is: 489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.52 : 224.02 = 224.02 : x
  2. Step 2: Convert to fraction form
    102.52/224.02 = 224.02/x
  3. Step 3: Cross multiply
    102.52x = 224.02 × 224.02
  4. Step 4: Simplify right side
    102.52x = 50,183.00
  5. Step 5: Solve for x
    x = 50,183.00/102.52
  6. Step 6: Final answer
    x = 489.52

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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.