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Finding the Third Proportional to 166,968 and 365,772

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Solution

The third proportional to 166,968 and 365,772 is: 801,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,968 : 365,772 = 365,772 : x
  2. Step 2: Convert to fraction form
    166,968/365,772 = 365,772/x
  3. Step 3: Cross multiply
    166,968x = 365,772 × 365,772
  4. Step 4: Simplify right side
    166,968x = 133,789,155,984
  5. Step 5: Solve for x
    x = 133,789,155,984/166,968
  6. Step 6: Final answer
    x = 801,286.21

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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.