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Finding the Third Proportional to 182,378 and 272,837

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Solution

The third proportional to 182,378 and 272,837 is: 408,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,378 : 272,837 = 272,837 : x
  2. Step 2: Convert to fraction form
    182,378/272,837 = 272,837/x
  3. Step 3: Cross multiply
    182,378x = 272,837 × 272,837
  4. Step 4: Simplify right side
    182,378x = 74,440,028,569
  5. Step 5: Solve for x
    x = 74,440,028,569/182,378
  6. Step 6: Final answer
    x = 408,163.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.