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Finding the Third Proportional to 188,538 and 276,471

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Solution

The third proportional to 188,538 and 276,471 is: 405,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,538 : 276,471 = 276,471 : x
  2. Step 2: Convert to fraction form
    188,538/276,471 = 276,471/x
  3. Step 3: Cross multiply
    188,538x = 276,471 × 276,471
  4. Step 4: Simplify right side
    188,538x = 76,436,213,841
  5. Step 5: Solve for x
    x = 76,436,213,841/188,538
  6. Step 6: Final answer
    x = 405,415.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.