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Finding the Third Proportional to 108.80 and 228.41

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Solution

The third proportional to 108.80 and 228.41 is: 479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.80 : 228.41 = 228.41 : x
  2. Step 2: Convert to fraction form
    108.80/228.41 = 228.41/x
  3. Step 3: Cross multiply
    108.80x = 228.41 × 228.41
  4. Step 4: Simplify right side
    108.80x = 52,169.19
  5. Step 5: Solve for x
    x = 52,169.19/108.80
  6. Step 6: Final answer
    x = 479.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.