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Finding the Third Proportional to 149,471 and 226,975

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Solution

The third proportional to 149,471 and 226,975 is: 344,666.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,471 : 226,975 = 226,975 : x
  2. Step 2: Convert to fraction form
    149,471/226,975 = 226,975/x
  3. Step 3: Cross multiply
    149,471x = 226,975 × 226,975
  4. Step 4: Simplify right side
    149,471x = 51,517,650,625
  5. Step 5: Solve for x
    x = 51,517,650,625/149,471
  6. Step 6: Final answer
    x = 344,666.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.