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Finding the Third Proportional to 102.75 and 236.63

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Solution

The third proportional to 102.75 and 236.63 is: 544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.75 : 236.63 = 236.63 : x
  2. Step 2: Convert to fraction form
    102.75/236.63 = 236.63/x
  3. Step 3: Cross multiply
    102.75x = 236.63 × 236.63
  4. Step 4: Simplify right side
    102.75x = 55,991.39
  5. Step 5: Solve for x
    x = 55,991.39/102.75
  6. Step 6: Final answer
    x = 544.93

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.