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Finding the Third Proportional to 167,969 and 262,180

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Solution

The third proportional to 167,969 and 262,180 is: 409,232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,969 : 262,180 = 262,180 : x
  2. Step 2: Convert to fraction form
    167,969/262,180 = 262,180/x
  3. Step 3: Cross multiply
    167,969x = 262,180 × 262,180
  4. Step 4: Simplify right side
    167,969x = 68,738,352,400
  5. Step 5: Solve for x
    x = 68,738,352,400/167,969
  6. Step 6: Final answer
    x = 409,232.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.