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Finding the Third Proportional to 262.13 and 349.63

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Solution

The third proportional to 262.13 and 349.63 is: 466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.13 : 349.63 = 349.63 : x
  2. Step 2: Convert to fraction form
    262.13/349.63 = 349.63/x
  3. Step 3: Cross multiply
    262.13x = 349.63 × 349.63
  4. Step 4: Simplify right side
    262.13x = 122,237.64
  5. Step 5: Solve for x
    x = 122,237.64/262.13
  6. Step 6: Final answer
    x = 466.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.