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Finding the Third Proportional to 184,011 and 277,765

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Solution

The third proportional to 184,011 and 277,765 is: 419,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,011 : 277,765 = 277,765 : x
  2. Step 2: Convert to fraction form
    184,011/277,765 = 277,765/x
  3. Step 3: Cross multiply
    184,011x = 277,765 × 277,765
  4. Step 4: Simplify right side
    184,011x = 77,153,395,225
  5. Step 5: Solve for x
    x = 77,153,395,225/184,011
  6. Step 6: Final answer
    x = 419,286.86

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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.