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Finding the Third Proportional to 228,960.11 and 336,578.73

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Solution

The third proportional to 228,960.11 and 336,578.73 is: 494,781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,960.11 : 336,578.73 = 336,578.73 : x
  2. Step 2: Convert to fraction form
    228,960.11/336,578.73 = 336,578.73/x
  3. Step 3: Cross multiply
    228,960.11x = 336,578.73 × 336,578.73
  4. Step 4: Simplify right side
    228,960.11x = 113,285,241,803.96
  5. Step 5: Solve for x
    x = 113,285,241,803.96/228,960.11
  6. Step 6: Final answer
    x = 494,781.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.