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Finding the Third Proportional to 172,525.50 and 261,891

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Solution

The third proportional to 172,525.50 and 261,891 is: 397,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,525.50 : 261,891 = 261,891 : x
  2. Step 2: Convert to fraction form
    172,525.50/261,891 = 261,891/x
  3. Step 3: Cross multiply
    172,525.50x = 261,891 × 261,891
  4. Step 4: Simplify right side
    172,525.50x = 68,586,895,881
  5. Step 5: Solve for x
    x = 68,586,895,881/172,525.50
  6. Step 6: Final answer
    x = 397,546.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.