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Finding the Third Proportional to 172,525.75 and 261,893

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Solution

The third proportional to 172,525.75 and 261,893 is: 397,551.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,525.75 : 261,893 = 261,893 : x
  2. Step 2: Convert to fraction form
    172,525.75/261,893 = 261,893/x
  3. Step 3: Cross multiply
    172,525.75x = 261,893 × 261,893
  4. Step 4: Simplify right side
    172,525.75x = 68,587,943,449
  5. Step 5: Solve for x
    x = 68,587,943,449/172,525.75
  6. Step 6: Final answer
    x = 397,551.92

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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.