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Finding the Third Proportional to 109.27 and 236.46

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Solution

The third proportional to 109.27 and 236.46 is: 511.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.27 : 236.46 = 236.46 : x
  2. Step 2: Convert to fraction form
    109.27/236.46 = 236.46/x
  3. Step 3: Cross multiply
    109.27x = 236.46 × 236.46
  4. Step 4: Simplify right side
    109.27x = 55,913.77
  5. Step 5: Solve for x
    x = 55,913.77/109.27
  6. Step 6: Final answer
    x = 511.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.