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Finding the Third Proportional to 148,984.31 and 226,918.97

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Solution

The third proportional to 148,984.31 and 226,918.97 is: 345,621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,984.31 : 226,918.97 = 226,918.97 : x
  2. Step 2: Convert to fraction form
    148,984.31/226,918.97 = 226,918.97/x
  3. Step 3: Cross multiply
    148,984.31x = 226,918.97 × 226,918.97
  4. Step 4: Simplify right side
    148,984.31x = 51,492,218,378.56
  5. Step 5: Solve for x
    x = 51,492,218,378.56/148,984.31
  6. Step 6: Final answer
    x = 345,621.75

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