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Finding the Third Proportional to 190,238 and 449,895

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Solution

The third proportional to 190,238 and 449,895 is: 1,063,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,238 : 449,895 = 449,895 : x
  2. Step 2: Convert to fraction form
    190,238/449,895 = 449,895/x
  3. Step 3: Cross multiply
    190,238x = 449,895 × 449,895
  4. Step 4: Simplify right side
    190,238x = 202,405,511,025
  5. Step 5: Solve for x
    x = 202,405,511,025/190,238
  6. Step 6: Final answer
    x = 1,063,959.41

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