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Finding the Third Proportional to 166,702 and 365,021

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Solution

The third proportional to 166,702 and 365,021 is: 799,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,702 : 365,021 = 365,021 : x
  2. Step 2: Convert to fraction form
    166,702/365,021 = 365,021/x
  3. Step 3: Cross multiply
    166,702x = 365,021 × 365,021
  4. Step 4: Simplify right side
    166,702x = 133,240,330,441
  5. Step 5: Solve for x
    x = 133,240,330,441/166,702
  6. Step 6: Final answer
    x = 799,272.54

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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.