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Finding the Third Proportional to 166,833 and 363,042

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Solution

The third proportional to 166,833 and 363,042 is: 790,008.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,833 : 363,042 = 363,042 : x
  2. Step 2: Convert to fraction form
    166,833/363,042 = 363,042/x
  3. Step 3: Cross multiply
    166,833x = 363,042 × 363,042
  4. Step 4: Simplify right side
    166,833x = 131,799,493,764
  5. Step 5: Solve for x
    x = 131,799,493,764/166,833
  6. Step 6: Final answer
    x = 790,008.53

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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.