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Finding the Third Proportional to 166,976 and 365,788

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Solution

The third proportional to 166,976 and 365,788 is: 801,317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,976 : 365,788 = 365,788 : x
  2. Step 2: Convert to fraction form
    166,976/365,788 = 365,788/x
  3. Step 3: Cross multiply
    166,976x = 365,788 × 365,788
  4. Step 4: Simplify right side
    166,976x = 133,800,860,944
  5. Step 5: Solve for x
    x = 133,800,860,944/166,976
  6. Step 6: Final answer
    x = 801,317.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.