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Finding the Third Proportional to 167,137 and 251,504

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Solution

The third proportional to 167,137 and 251,504 is: 378,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,137 : 251,504 = 251,504 : x
  2. Step 2: Convert to fraction form
    167,137/251,504 = 251,504/x
  3. Step 3: Cross multiply
    167,137x = 251,504 × 251,504
  4. Step 4: Simplify right side
    167,137x = 63,254,262,016
  5. Step 5: Solve for x
    x = 63,254,262,016/167,137
  6. Step 6: Final answer
    x = 378,457.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.