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Finding the Third Proportional to 283.50 and 582.19

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Solution

The third proportional to 283.50 and 582.19 is: 1,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.50 : 582.19 = 582.19 : x
  2. Step 2: Convert to fraction form
    283.50/582.19 = 582.19/x
  3. Step 3: Cross multiply
    283.50x = 582.19 × 582.19
  4. Step 4: Simplify right side
    283.50x = 338,942.29
  5. Step 5: Solve for x
    x = 338,942.29/283.50
  6. Step 6: Final answer
    x = 1,195.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.