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Finding the Third Proportional to 255.75 and 413.53

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Solution

The third proportional to 255.75 and 413.53 is: 668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.75 : 413.53 = 413.53 : x
  2. Step 2: Convert to fraction form
    255.75/413.53 = 413.53/x
  3. Step 3: Cross multiply
    255.75x = 413.53 × 413.53
  4. Step 4: Simplify right side
    255.75x = 171,008.09
  5. Step 5: Solve for x
    x = 171,008.09/255.75
  6. Step 6: Final answer
    x = 668.65

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.