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Finding the Third Proportional to 105.75 and 233.63

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Solution

The third proportional to 105.75 and 233.63 is: 516.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.75 : 233.63 = 233.63 : x
  2. Step 2: Convert to fraction form
    105.75/233.63 = 233.63/x
  3. Step 3: Cross multiply
    105.75x = 233.63 × 233.63
  4. Step 4: Simplify right side
    105.75x = 54,580.64
  5. Step 5: Solve for x
    x = 54,580.64/105.75
  6. Step 6: Final answer
    x = 516.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.