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Finding the Third Proportional to 116,337 and 251,098

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Solution

The third proportional to 116,337 and 251,098 is: 541,961.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,337 : 251,098 = 251,098 : x
  2. Step 2: Convert to fraction form
    116,337/251,098 = 251,098/x
  3. Step 3: Cross multiply
    116,337x = 251,098 × 251,098
  4. Step 4: Simplify right side
    116,337x = 63,050,205,604
  5. Step 5: Solve for x
    x = 63,050,205,604/116,337
  6. Step 6: Final answer
    x = 541,961.76

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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.