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Finding the Third Proportional to 108,808 and 230,684

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Solution

The third proportional to 108,808 and 230,684 is: 489,073.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,808 : 230,684 = 230,684 : x
  2. Step 2: Convert to fraction form
    108,808/230,684 = 230,684/x
  3. Step 3: Cross multiply
    108,808x = 230,684 × 230,684
  4. Step 4: Simplify right side
    108,808x = 53,215,107,856
  5. Step 5: Solve for x
    x = 53,215,107,856/108,808
  6. Step 6: Final answer
    x = 489,073.49

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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.