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Finding the Third Proportional to 108,517 and 236,636

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Solution

The third proportional to 108,517 and 236,636 is: 516,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,517 : 236,636 = 236,636 : x
  2. Step 2: Convert to fraction form
    108,517/236,636 = 236,636/x
  3. Step 3: Cross multiply
    108,517x = 236,636 × 236,636
  4. Step 4: Simplify right side
    108,517x = 55,996,596,496
  5. Step 5: Solve for x
    x = 55,996,596,496/108,517
  6. Step 6: Final answer
    x = 516,016.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.