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Finding the Third Proportional to 268.97 and 421.69

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Solution

The third proportional to 268.97 and 421.69 is: 661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.97 : 421.69 = 421.69 : x
  2. Step 2: Convert to fraction form
    268.97/421.69 = 421.69/x
  3. Step 3: Cross multiply
    268.97x = 421.69 × 421.69
  4. Step 4: Simplify right side
    268.97x = 177,820.35
  5. Step 5: Solve for x
    x = 177,820.35/268.97
  6. Step 6: Final answer
    x = 661.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.