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Finding the Third Proportional to 149,861 and 226,380

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Solution

The third proportional to 149,861 and 226,380 is: 341,969.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,861 : 226,380 = 226,380 : x
  2. Step 2: Convert to fraction form
    149,861/226,380 = 226,380/x
  3. Step 3: Cross multiply
    149,861x = 226,380 × 226,380
  4. Step 4: Simplify right side
    149,861x = 51,247,904,400
  5. Step 5: Solve for x
    x = 51,247,904,400/149,861
  6. Step 6: Final answer
    x = 341,969.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.