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Finding the Third Proportional to 167,971 and 262,183

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Solution

The third proportional to 167,971 and 262,183 is: 409,236.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,971 : 262,183 = 262,183 : x
  2. Step 2: Convert to fraction form
    167,971/262,183 = 262,183/x
  3. Step 3: Cross multiply
    167,971x = 262,183 × 262,183
  4. Step 4: Simplify right side
    167,971x = 68,739,925,489
  5. Step 5: Solve for x
    x = 68,739,925,489/167,971
  6. Step 6: Final answer
    x = 409,236.87

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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.