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Finding the Third Proportional to 100.94 and 233.84

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Solution

The third proportional to 100.94 and 233.84 is: 541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.94 : 233.84 = 233.84 : x
  2. Step 2: Convert to fraction form
    100.94/233.84 = 233.84/x
  3. Step 3: Cross multiply
    100.94x = 233.84 × 233.84
  4. Step 4: Simplify right side
    100.94x = 54,682.90
  5. Step 5: Solve for x
    x = 54,682.90/100.94
  6. Step 6: Final answer
    x = 541.75

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Why These Related Problems?

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