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Finding the Third Proportional to 184,304 and 394,816

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Solution

The third proportional to 184,304 and 394,816 is: 845,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,304 : 394,816 = 394,816 : x
  2. Step 2: Convert to fraction form
    184,304/394,816 = 394,816/x
  3. Step 3: Cross multiply
    184,304x = 394,816 × 394,816
  4. Step 4: Simplify right side
    184,304x = 155,879,673,856
  5. Step 5: Solve for x
    x = 155,879,673,856/184,304
  6. Step 6: Final answer
    x = 845,774.77

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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.