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Finding the Third Proportional to 147,361.50 and 225,272.25

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Solution

The third proportional to 147,361.50 and 225,272.25 is: 344,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,361.50 : 225,272.25 = 225,272.25 : x
  2. Step 2: Convert to fraction form
    147,361.50/225,272.25 = 225,272.25/x
  3. Step 3: Cross multiply
    147,361.50x = 225,272.25 × 225,272.25
  4. Step 4: Simplify right side
    147,361.50x = 50,747,586,620.06
  5. Step 5: Solve for x
    x = 50,747,586,620.06/147,361.50
  6. Step 6: Final answer
    x = 344,374.80

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.