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Finding the Third Proportional to 109.45 and 238.17

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Solution

The third proportional to 109.45 and 238.17 is: 518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.45 : 238.17 = 238.17 : x
  2. Step 2: Convert to fraction form
    109.45/238.17 = 238.17/x
  3. Step 3: Cross multiply
    109.45x = 238.17 × 238.17
  4. Step 4: Simplify right side
    109.45x = 56,725.84
  5. Step 5: Solve for x
    x = 56,725.84/109.45
  6. Step 6: Final answer
    x = 518.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.