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Finding the Third Proportional to 108.14 and 236.95

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Solution

The third proportional to 108.14 and 236.95 is: 519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.14 : 236.95 = 236.95 : x
  2. Step 2: Convert to fraction form
    108.14/236.95 = 236.95/x
  3. Step 3: Cross multiply
    108.14x = 236.95 × 236.95
  4. Step 4: Simplify right side
    108.14x = 56,146.78
  5. Step 5: Solve for x
    x = 56,146.78/108.14
  6. Step 6: Final answer
    x = 519.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.