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Finding the Third Proportional to 147,300.75 and 225,227.25

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Solution

The third proportional to 147,300.75 and 225,227.25 is: 344,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,300.75 : 225,227.25 = 225,227.25 : x
  2. Step 2: Convert to fraction form
    147,300.75/225,227.25 = 225,227.25/x
  3. Step 3: Cross multiply
    147,300.75x = 225,227.25 × 225,227.25
  4. Step 4: Simplify right side
    147,300.75x = 50,727,314,142.56
  5. Step 5: Solve for x
    x = 50,727,314,142.56/147,300.75
  6. Step 6: Final answer
    x = 344,379.20

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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.