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Finding the Third Proportional to 185.94 and 283.84

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Solution

The third proportional to 185.94 and 283.84 is: 433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.94 : 283.84 = 283.84 : x
  2. Step 2: Convert to fraction form
    185.94/283.84 = 283.84/x
  3. Step 3: Cross multiply
    185.94x = 283.84 × 283.84
  4. Step 4: Simplify right side
    185.94x = 80,567.27
  5. Step 5: Solve for x
    x = 80,567.27/185.94
  6. Step 6: Final answer
    x = 433.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.