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Finding the Third Proportional to 100.94 and 233.69

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Solution

The third proportional to 100.94 and 233.69 is: 541.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.94 : 233.69 = 233.69 : x
  2. Step 2: Convert to fraction form
    100.94/233.69 = 233.69/x
  3. Step 3: Cross multiply
    100.94x = 233.69 × 233.69
  4. Step 4: Simplify right side
    100.94x = 54,609.85
  5. Step 5: Solve for x
    x = 54,609.85/100.94
  6. Step 6: Final answer
    x = 541.03

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.