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Finding the Third Proportional to 171,059 and 264,891

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Solution

The third proportional to 171,059 and 264,891 is: 410,193.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,059 : 264,891 = 264,891 : x
  2. Step 2: Convert to fraction form
    171,059/264,891 = 264,891/x
  3. Step 3: Cross multiply
    171,059x = 264,891 × 264,891
  4. Step 4: Simplify right side
    171,059x = 70,167,241,881
  5. Step 5: Solve for x
    x = 70,167,241,881/171,059
  6. Step 6: Final answer
    x = 410,193.22

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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.