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Finding the Third Proportional to 100.94 and 235.84

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Solution

The third proportional to 100.94 and 235.84 is: 551.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.94 : 235.84 = 235.84 : x
  2. Step 2: Convert to fraction form
    100.94/235.84 = 235.84/x
  3. Step 3: Cross multiply
    100.94x = 235.84 × 235.84
  4. Step 4: Simplify right side
    100.94x = 55,622.27
  5. Step 5: Solve for x
    x = 55,622.27/100.94
  6. Step 6: Final answer
    x = 551.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.