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Finding the Third Proportional to 184,844 and 278,580

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Solution

The third proportional to 184,844 and 278,580 is: 419,850.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,844 : 278,580 = 278,580 : x
  2. Step 2: Convert to fraction form
    184,844/278,580 = 278,580/x
  3. Step 3: Cross multiply
    184,844x = 278,580 × 278,580
  4. Step 4: Simplify right side
    184,844x = 77,606,816,400
  5. Step 5: Solve for x
    x = 77,606,816,400/184,844
  6. Step 6: Final answer
    x = 419,850.34

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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.