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Finding the Third Proportional to 83.53 and 189.84

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Solution

The third proportional to 83.53 and 189.84 is: 431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.53 : 189.84 = 189.84 : x
  2. Step 2: Convert to fraction form
    83.53/189.84 = 189.84/x
  3. Step 3: Cross multiply
    83.53x = 189.84 × 189.84
  4. Step 4: Simplify right side
    83.53x = 36,040.65
  5. Step 5: Solve for x
    x = 36,040.65/83.53
  6. Step 6: Final answer
    x = 431.46

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.