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Finding the Third Proportional to 116,881 and 251,636

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Solution

The third proportional to 116,881 and 251,636 is: 541,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,881 : 251,636 = 251,636 : x
  2. Step 2: Convert to fraction form
    116,881/251,636 = 251,636/x
  3. Step 3: Cross multiply
    116,881x = 251,636 × 251,636
  4. Step 4: Simplify right side
    116,881x = 63,320,676,496
  5. Step 5: Solve for x
    x = 63,320,676,496/116,881
  6. Step 6: Final answer
    x = 541,753.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.