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Finding the Third Proportional to 102.73 and 225.33

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Solution

The third proportional to 102.73 and 225.33 is: 494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.73 : 225.33 = 225.33 : x
  2. Step 2: Convert to fraction form
    102.73/225.33 = 225.33/x
  3. Step 3: Cross multiply
    102.73x = 225.33 × 225.33
  4. Step 4: Simplify right side
    102.73x = 50,775.40
  5. Step 5: Solve for x
    x = 50,775.40/102.73
  6. Step 6: Final answer
    x = 494.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.