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Finding the Third Proportional to 234,760.78 and 339,121.69

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Solution

The third proportional to 234,760.78 and 339,121.69 is: 489,875.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,760.78 : 339,121.69 = 339,121.69 : x
  2. Step 2: Convert to fraction form
    234,760.78/339,121.69 = 339,121.69/x
  3. Step 3: Cross multiply
    234,760.78x = 339,121.69 × 339,121.69
  4. Step 4: Simplify right side
    234,760.78x = 115,003,518,932.85
  5. Step 5: Solve for x
    x = 115,003,518,932.85/234,760.78
  6. Step 6: Final answer
    x = 489,875.35

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.