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Finding the Third Proportional to 109.13 and 251.16

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Solution

The third proportional to 109.13 and 251.16 is: 578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.13 : 251.16 = 251.16 : x
  2. Step 2: Convert to fraction form
    109.13/251.16 = 251.16/x
  3. Step 3: Cross multiply
    109.13x = 251.16 × 251.16
  4. Step 4: Simplify right side
    109.13x = 63,079.46
  5. Step 5: Solve for x
    x = 63,079.46/109.13
  6. Step 6: Final answer
    x = 578.05

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.