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Finding the Third Proportional to 184,007 and 269,951

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Solution

The third proportional to 184,007 and 269,951 is: 396,036.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,007 : 269,951 = 269,951 : x
  2. Step 2: Convert to fraction form
    184,007/269,951 = 269,951/x
  3. Step 3: Cross multiply
    184,007x = 269,951 × 269,951
  4. Step 4: Simplify right side
    184,007x = 72,873,542,401
  5. Step 5: Solve for x
    x = 72,873,542,401/184,007
  6. Step 6: Final answer
    x = 396,036.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.