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Finding the Third Proportional to 109.13 and 266.91

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Solution

The third proportional to 109.13 and 266.91 is: 652.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.13 : 266.91 = 266.91 : x
  2. Step 2: Convert to fraction form
    109.13/266.91 = 266.91/x
  3. Step 3: Cross multiply
    109.13x = 266.91 × 266.91
  4. Step 4: Simplify right side
    109.13x = 71,238.95
  5. Step 5: Solve for x
    x = 71,238.95/109.13
  6. Step 6: Final answer
    x = 652.82

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.