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Finding the Third Proportional to 184,065 and 394,353

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Solution

The third proportional to 184,065 and 394,353 is: 844,887.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,065 : 394,353 = 394,353 : x
  2. Step 2: Convert to fraction form
    184,065/394,353 = 394,353/x
  3. Step 3: Cross multiply
    184,065x = 394,353 × 394,353
  4. Step 4: Simplify right side
    184,065x = 155,514,288,609
  5. Step 5: Solve for x
    x = 155,514,288,609/184,065
  6. Step 6: Final answer
    x = 844,887.89

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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.