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Finding the Third Proportional to 102.94 and 219.38

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Solution

The third proportional to 102.94 and 219.38 is: 467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.94 : 219.38 = 219.38 : x
  2. Step 2: Convert to fraction form
    102.94/219.38 = 219.38/x
  3. Step 3: Cross multiply
    102.94x = 219.38 × 219.38
  4. Step 4: Simplify right side
    102.94x = 48,125.39
  5. Step 5: Solve for x
    x = 48,125.39/102.94
  6. Step 6: Final answer
    x = 467.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.