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Finding the Third Proportional to 167,460.75 and 251,568

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Solution

The third proportional to 167,460.75 and 251,568 is: 377,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,460.75 : 251,568 = 251,568 : x
  2. Step 2: Convert to fraction form
    167,460.75/251,568 = 251,568/x
  3. Step 3: Cross multiply
    167,460.75x = 251,568 × 251,568
  4. Step 4: Simplify right side
    167,460.75x = 63,286,458,624
  5. Step 5: Solve for x
    x = 63,286,458,624/167,460.75
  6. Step 6: Final answer
    x = 377,918.16

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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.