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Finding the Third Proportional to 147,736.41 and 225,295.17

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Solution

The third proportional to 147,736.41 and 225,295.17 is: 343,570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,736.41 : 225,295.17 = 225,295.17 : x
  2. Step 2: Convert to fraction form
    147,736.41/225,295.17 = 225,295.17/x
  3. Step 3: Cross multiply
    147,736.41x = 225,295.17 × 225,295.17
  4. Step 4: Simplify right side
    147,736.41x = 50,757,914,470.19
  5. Step 5: Solve for x
    x = 50,757,914,470.19/147,736.41
  6. Step 6: Final answer
    x = 343,570.79

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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.