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Finding the Third Proportional to 233,388 and 339,876

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Solution

The third proportional to 233,388 and 339,876 is: 494,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,388 : 339,876 = 339,876 : x
  2. Step 2: Convert to fraction form
    233,388/339,876 = 339,876/x
  3. Step 3: Cross multiply
    233,388x = 339,876 × 339,876
  4. Step 4: Simplify right side
    233,388x = 115,515,695,376
  5. Step 5: Solve for x
    x = 115,515,695,376/233,388
  6. Step 6: Final answer
    x = 494,951.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.