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Finding the Third Proportional to 109.75 and 236.75

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Solution

The third proportional to 109.75 and 236.75 is: 510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.75 : 236.75 = 236.75 : x
  2. Step 2: Convert to fraction form
    109.75/236.75 = 236.75/x
  3. Step 3: Cross multiply
    109.75x = 236.75 × 236.75
  4. Step 4: Simplify right side
    109.75x = 56,050.56
  5. Step 5: Solve for x
    x = 56,050.56/109.75
  6. Step 6: Final answer
    x = 510.71

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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.