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Finding the Third Proportional to 203,104 and 324,336

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Solution

The third proportional to 203,104 and 324,336 is: 517,930.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,104 : 324,336 = 324,336 : x
  2. Step 2: Convert to fraction form
    203,104/324,336 = 324,336/x
  3. Step 3: Cross multiply
    203,104x = 324,336 × 324,336
  4. Step 4: Simplify right side
    203,104x = 105,193,840,896
  5. Step 5: Solve for x
    x = 105,193,840,896/203,104
  6. Step 6: Final answer
    x = 517,930.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.