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Finding the Third Proportional to 147,384.56 and 222,299.44

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Solution

The third proportional to 147,384.56 and 222,299.44 is: 335,293.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,384.56 : 222,299.44 = 222,299.44 : x
  2. Step 2: Convert to fraction form
    147,384.56/222,299.44 = 222,299.44/x
  3. Step 3: Cross multiply
    147,384.56x = 222,299.44 × 222,299.44
  4. Step 4: Simplify right side
    147,384.56x = 49,417,039,912.82
  5. Step 5: Solve for x
    x = 49,417,039,912.82/147,384.56
  6. Step 6: Final answer
    x = 335,293.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.