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Finding the Third Proportional to 108,530 and 232,636

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Solution

The third proportional to 108,530 and 232,636 is: 498,659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,530 : 232,636 = 232,636 : x
  2. Step 2: Convert to fraction form
    108,530/232,636 = 232,636/x
  3. Step 3: Cross multiply
    108,530x = 232,636 × 232,636
  4. Step 4: Simplify right side
    108,530x = 54,119,508,496
  5. Step 5: Solve for x
    x = 54,119,508,496/108,530
  6. Step 6: Final answer
    x = 498,659.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.