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Finding the Third Proportional to 184,244 and 382,336

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Solution

The third proportional to 184,244 and 382,336 is: 793,408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,244 : 382,336 = 382,336 : x
  2. Step 2: Convert to fraction form
    184,244/382,336 = 382,336/x
  3. Step 3: Cross multiply
    184,244x = 382,336 × 382,336
  4. Step 4: Simplify right side
    184,244x = 146,180,816,896
  5. Step 5: Solve for x
    x = 146,180,816,896/184,244
  6. Step 6: Final answer
    x = 793,408.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.