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Finding the Third Proportional to 108,736 and 230,540

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Solution

The third proportional to 108,736 and 230,540 is: 488,786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,736 : 230,540 = 230,540 : x
  2. Step 2: Convert to fraction form
    108,736/230,540 = 230,540/x
  3. Step 3: Cross multiply
    108,736x = 230,540 × 230,540
  4. Step 4: Simplify right side
    108,736x = 53,148,691,600
  5. Step 5: Solve for x
    x = 53,148,691,600/108,736
  6. Step 6: Final answer
    x = 488,786.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.