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Finding the Third Proportional to 167,022 and 258,661

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Solution

The third proportional to 167,022 and 258,661 is: 400,579.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,022 : 258,661 = 258,661 : x
  2. Step 2: Convert to fraction form
    167,022/258,661 = 258,661/x
  3. Step 3: Cross multiply
    167,022x = 258,661 × 258,661
  4. Step 4: Simplify right side
    167,022x = 66,905,512,921
  5. Step 5: Solve for x
    x = 66,905,512,921/167,022
  6. Step 6: Final answer
    x = 400,579.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.