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Finding the Third Proportional to 208.41 and 293.63

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Solution

The third proportional to 208.41 and 293.63 is: 413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.41 : 293.63 = 293.63 : x
  2. Step 2: Convert to fraction form
    208.41/293.63 = 293.63/x
  3. Step 3: Cross multiply
    208.41x = 293.63 × 293.63
  4. Step 4: Simplify right side
    208.41x = 86,215.64
  5. Step 5: Solve for x
    x = 86,215.64/208.41
  6. Step 6: Final answer
    x = 413.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.