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Finding the Third Proportional to 188.42 and 283.82

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Solution

The third proportional to 188.42 and 283.82 is: 427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.42 : 283.82 = 283.82 : x
  2. Step 2: Convert to fraction form
    188.42/283.82 = 283.82/x
  3. Step 3: Cross multiply
    188.42x = 283.82 × 283.82
  4. Step 4: Simplify right side
    188.42x = 80,551.75
  5. Step 5: Solve for x
    x = 80,551.75/188.42
  6. Step 6: Final answer
    x = 427.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.