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Finding the Third Proportional to 116,006 and 244,460

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Solution

The third proportional to 116,006 and 244,460 is: 515,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,006 : 244,460 = 244,460 : x
  2. Step 2: Convert to fraction form
    116,006/244,460 = 244,460/x
  3. Step 3: Cross multiply
    116,006x = 244,460 × 244,460
  4. Step 4: Simplify right side
    116,006x = 59,760,691,600
  5. Step 5: Solve for x
    x = 59,760,691,600/116,006
  6. Step 6: Final answer
    x = 515,151.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.