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Finding the Third Proportional to 183,734 and 331,204

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Solution

The third proportional to 183,734 and 331,204 is: 597,037.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,734 : 331,204 = 331,204 : x
  2. Step 2: Convert to fraction form
    183,734/331,204 = 331,204/x
  3. Step 3: Cross multiply
    183,734x = 331,204 × 331,204
  4. Step 4: Simplify right side
    183,734x = 109,696,089,616
  5. Step 5: Solve for x
    x = 109,696,089,616/183,734
  6. Step 6: Final answer
    x = 597,037.51

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.