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Finding the Third Proportional to 116,004 and 244,456

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Solution

The third proportional to 116,004 and 244,456 is: 515,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,004 : 244,456 = 244,456 : x
  2. Step 2: Convert to fraction form
    116,004/244,456 = 244,456/x
  3. Step 3: Cross multiply
    116,004x = 244,456 × 244,456
  4. Step 4: Simplify right side
    116,004x = 59,758,735,936
  5. Step 5: Solve for x
    x = 59,758,735,936/116,004
  6. Step 6: Final answer
    x = 515,143.75

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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.