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Finding the Third Proportional to 262.41 and 418.59

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Solution

The third proportional to 262.41 and 418.59 is: 667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.41 : 418.59 = 418.59 : x
  2. Step 2: Convert to fraction form
    262.41/418.59 = 418.59/x
  3. Step 3: Cross multiply
    262.41x = 418.59 × 418.59
  4. Step 4: Simplify right side
    262.41x = 175,220.73
  5. Step 5: Solve for x
    x = 175,220.73/262.41
  6. Step 6: Final answer
    x = 667.75

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.