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Finding the Third Proportional to 167,100 and 258,908

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Solution

The third proportional to 167,100 and 258,908 is: 401,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,100 : 258,908 = 258,908 : x
  2. Step 2: Convert to fraction form
    167,100/258,908 = 258,908/x
  3. Step 3: Cross multiply
    167,100x = 258,908 × 258,908
  4. Step 4: Simplify right side
    167,100x = 67,033,352,464
  5. Step 5: Solve for x
    x = 67,033,352,464/167,100
  6. Step 6: Final answer
    x = 401,157.11

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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.