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Finding the Third Proportional to 190,236 and 449,889

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Solution

The third proportional to 190,236 and 449,889 is: 1,063,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,236 : 449,889 = 449,889 : x
  2. Step 2: Convert to fraction form
    190,236/449,889 = 449,889/x
  3. Step 3: Cross multiply
    190,236x = 449,889 × 449,889
  4. Step 4: Simplify right side
    190,236x = 202,400,112,321
  5. Step 5: Solve for x
    x = 202,400,112,321/190,236
  6. Step 6: Final answer
    x = 1,063,942.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.