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Finding the Third Proportional to 184,008 and 394,248

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Solution

The third proportional to 184,008 and 394,248 is: 844,699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,008 : 394,248 = 394,248 : x
  2. Step 2: Convert to fraction form
    184,008/394,248 = 394,248/x
  3. Step 3: Cross multiply
    184,008x = 394,248 × 394,248
  4. Step 4: Simplify right side
    184,008x = 155,431,485,504
  5. Step 5: Solve for x
    x = 155,431,485,504/184,008
  6. Step 6: Final answer
    x = 844,699.61

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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.