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Finding the Third Proportional to 166,862 and 339,520

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Solution

The third proportional to 166,862 and 339,520 is: 690,833.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,862 : 339,520 = 339,520 : x
  2. Step 2: Convert to fraction form
    166,862/339,520 = 339,520/x
  3. Step 3: Cross multiply
    166,862x = 339,520 × 339,520
  4. Step 4: Simplify right side
    166,862x = 115,273,830,400
  5. Step 5: Solve for x
    x = 115,273,830,400/166,862
  6. Step 6: Final answer
    x = 690,833.33

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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.