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Finding the Third Proportional to 184,044 and 394,333

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Solution

The third proportional to 184,044 and 394,333 is: 844,898.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,044 : 394,333 = 394,333 : x
  2. Step 2: Convert to fraction form
    184,044/394,333 = 394,333/x
  3. Step 3: Cross multiply
    184,044x = 394,333 × 394,333
  4. Step 4: Simplify right side
    184,044x = 155,498,514,889
  5. Step 5: Solve for x
    x = 155,498,514,889/184,044
  6. Step 6: Final answer
    x = 844,898.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.