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Finding the Third Proportional to 116,199 and 246,349

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Solution

The third proportional to 116,199 and 246,349 is: 522,274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,199 : 246,349 = 246,349 : x
  2. Step 2: Convert to fraction form
    116,199/246,349 = 246,349/x
  3. Step 3: Cross multiply
    116,199x = 246,349 × 246,349
  4. Step 4: Simplify right side
    116,199x = 60,687,829,801
  5. Step 5: Solve for x
    x = 60,687,829,801/116,199
  6. Step 6: Final answer
    x = 522,274.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.