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Finding the Third Proportional to 184,009 and 277,762

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Solution

The third proportional to 184,009 and 277,762 is: 419,282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,009 : 277,762 = 277,762 : x
  2. Step 2: Convert to fraction form
    184,009/277,762 = 277,762/x
  3. Step 3: Cross multiply
    184,009x = 277,762 × 277,762
  4. Step 4: Simplify right side
    184,009x = 77,151,728,644
  5. Step 5: Solve for x
    x = 77,151,728,644/184,009
  6. Step 6: Final answer
    x = 419,282.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.