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Finding the Third Proportional to 166,834 and 363,044

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Solution

The third proportional to 166,834 and 363,044 is: 790,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,834 : 363,044 = 363,044 : x
  2. Step 2: Convert to fraction form
    166,834/363,044 = 363,044/x
  3. Step 3: Cross multiply
    166,834x = 363,044 × 363,044
  4. Step 4: Simplify right side
    166,834x = 131,800,945,936
  5. Step 5: Solve for x
    x = 131,800,945,936/166,834
  6. Step 6: Final answer
    x = 790,012.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.