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Finding the Third Proportional to 184,400.25 and 277,899

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Solution

The third proportional to 184,400.25 and 277,899 is: 418,805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,400.25 : 277,899 = 277,899 : x
  2. Step 2: Convert to fraction form
    184,400.25/277,899 = 277,899/x
  3. Step 3: Cross multiply
    184,400.25x = 277,899 × 277,899
  4. Step 4: Simplify right side
    184,400.25x = 77,227,854,201
  5. Step 5: Solve for x
    x = 77,227,854,201/184,400.25
  6. Step 6: Final answer
    x = 418,805.58

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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.