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Finding the Third Proportional to 183,489.50 and 274,380

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Solution

The third proportional to 183,489.50 and 274,380 is: 410,292.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,489.50 : 274,380 = 274,380 : x
  2. Step 2: Convert to fraction form
    183,489.50/274,380 = 274,380/x
  3. Step 3: Cross multiply
    183,489.50x = 274,380 × 274,380
  4. Step 4: Simplify right side
    183,489.50x = 75,284,384,400
  5. Step 5: Solve for x
    x = 75,284,384,400/183,489.50
  6. Step 6: Final answer
    x = 410,292.60

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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.