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Finding the Third Proportional to 149,896 and 222,573

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Solution

The third proportional to 149,896 and 222,573 is: 330,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,896 : 222,573 = 222,573 : x
  2. Step 2: Convert to fraction form
    149,896/222,573 = 222,573/x
  3. Step 3: Cross multiply
    149,896x = 222,573 × 222,573
  4. Step 4: Simplify right side
    149,896x = 49,538,740,329
  5. Step 5: Solve for x
    x = 49,538,740,329/149,896
  6. Step 6: Final answer
    x = 330,487.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.