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Finding the Third Proportional to 166,984 and 251,956

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Solution

The third proportional to 166,984 and 251,956 is: 380,167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,984 : 251,956 = 251,956 : x
  2. Step 2: Convert to fraction form
    166,984/251,956 = 251,956/x
  3. Step 3: Cross multiply
    166,984x = 251,956 × 251,956
  4. Step 4: Simplify right side
    166,984x = 63,481,825,936
  5. Step 5: Solve for x
    x = 63,481,825,936/166,984
  6. Step 6: Final answer
    x = 380,167.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.