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Finding the Third Proportional to 166,995 and 339,823

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Solution

The third proportional to 166,995 and 339,823 is: 691,515.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,995 : 339,823 = 339,823 : x
  2. Step 2: Convert to fraction form
    166,995/339,823 = 339,823/x
  3. Step 3: Cross multiply
    166,995x = 339,823 × 339,823
  4. Step 4: Simplify right side
    166,995x = 115,479,671,329
  5. Step 5: Solve for x
    x = 115,479,671,329/166,995
  6. Step 6: Final answer
    x = 691,515.74

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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.