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Finding the Third Proportional to 187,839 and 275,015.25

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Solution

The third proportional to 187,839 and 275,015.25 is: 402,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,839 : 275,015.25 = 275,015.25 : x
  2. Step 2: Convert to fraction form
    187,839/275,015.25 = 275,015.25/x
  3. Step 3: Cross multiply
    187,839x = 275,015.25 × 275,015.25
  4. Step 4: Simplify right side
    187,839x = 75,633,387,732.56
  5. Step 5: Solve for x
    x = 75,633,387,732.56/187,839
  6. Step 6: Final answer
    x = 402,650.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.