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Finding the Third Proportional to 116,917 and 252,517

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Solution

The third proportional to 116,917 and 252,517 is: 545,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,917 : 252,517 = 252,517 : x
  2. Step 2: Convert to fraction form
    116,917/252,517 = 252,517/x
  3. Step 3: Cross multiply
    116,917x = 252,517 × 252,517
  4. Step 4: Simplify right side
    116,917x = 63,764,835,289
  5. Step 5: Solve for x
    x = 63,764,835,289/116,917
  6. Step 6: Final answer
    x = 545,385.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.