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Finding the Third Proportional to 285.75 and 408.25

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Solution

The third proportional to 285.75 and 408.25 is: 583.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.75 : 408.25 = 408.25 : x
  2. Step 2: Convert to fraction form
    285.75/408.25 = 408.25/x
  3. Step 3: Cross multiply
    285.75x = 408.25 × 408.25
  4. Step 4: Simplify right side
    285.75x = 166,668.06
  5. Step 5: Solve for x
    x = 166,668.06/285.75
  6. Step 6: Final answer
    x = 583.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.