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Finding the Third Proportional to 184,208 and 330,512

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Solution

The third proportional to 184,208 and 330,512 is: 593,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,208 : 330,512 = 330,512 : x
  2. Step 2: Convert to fraction form
    184,208/330,512 = 330,512/x
  3. Step 3: Cross multiply
    184,208x = 330,512 × 330,512
  4. Step 4: Simplify right side
    184,208x = 109,238,182,144
  5. Step 5: Solve for x
    x = 109,238,182,144/184,208
  6. Step 6: Final answer
    x = 593,015.41

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.