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Finding the Third Proportional to 149,029 and 225,469

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Solution

The third proportional to 149,029 and 225,469 is: 341,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,029 : 225,469 = 225,469 : x
  2. Step 2: Convert to fraction form
    149,029/225,469 = 225,469/x
  3. Step 3: Cross multiply
    149,029x = 225,469 × 225,469
  4. Step 4: Simplify right side
    149,029x = 50,836,269,961
  5. Step 5: Solve for x
    x = 50,836,269,961/149,029
  6. Step 6: Final answer
    x = 341,116.63

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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.