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Finding the Third Proportional to 166,993.31 and 339,818.63

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Solution

The third proportional to 166,993.31 and 339,818.63 is: 691,504.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,993.31 : 339,818.63 = 339,818.63 : x
  2. Step 2: Convert to fraction form
    166,993.31/339,818.63 = 339,818.63/x
  3. Step 3: Cross multiply
    166,993.31x = 339,818.63 × 339,818.63
  4. Step 4: Simplify right side
    166,993.31x = 115,476,697,896.89
  5. Step 5: Solve for x
    x = 115,476,697,896.89/166,993.31
  6. Step 6: Final answer
    x = 691,504.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.