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Finding the Third Proportional to 183,487 and 274,375

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Solution

The third proportional to 183,487 and 274,375 is: 410,283.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,487 : 274,375 = 274,375 : x
  2. Step 2: Convert to fraction form
    183,487/274,375 = 274,375/x
  3. Step 3: Cross multiply
    183,487x = 274,375 × 274,375
  4. Step 4: Simplify right side
    183,487x = 75,281,640,625
  5. Step 5: Solve for x
    x = 75,281,640,625/183,487
  6. Step 6: Final answer
    x = 410,283.24

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