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Finding the Third Proportional to 181,286.07 and 377,458.26

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Solution

The third proportional to 181,286.07 and 377,458.26 is: 785,911.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,286.07 : 377,458.26 = 377,458.26 : x
  2. Step 2: Convert to fraction form
    181,286.07/377,458.26 = 377,458.26/x
  3. Step 3: Cross multiply
    181,286.07x = 377,458.26 × 377,458.26
  4. Step 4: Simplify right side
    181,286.07x = 142,474,737,865.29
  5. Step 5: Solve for x
    x = 142,474,737,865.29/181,286.07
  6. Step 6: Final answer
    x = 785,911.12

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.