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Finding the Third Proportional to 186.68 and 283.92

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Solution

The third proportional to 186.68 and 283.92 is: 431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.68 : 283.92 = 283.92 : x
  2. Step 2: Convert to fraction form
    186.68/283.92 = 283.92/x
  3. Step 3: Cross multiply
    186.68x = 283.92 × 283.92
  4. Step 4: Simplify right side
    186.68x = 80,611.63
  5. Step 5: Solve for x
    x = 80,611.63/186.68
  6. Step 6: Final answer
    x = 431.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.