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Finding the Third Proportional to 190,238 and 449,894

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Solution

The third proportional to 190,238 and 449,894 is: 1,063,954.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,238 : 449,894 = 449,894 : x
  2. Step 2: Convert to fraction form
    190,238/449,894 = 449,894/x
  3. Step 3: Cross multiply
    190,238x = 449,894 × 449,894
  4. Step 4: Simplify right side
    190,238x = 202,404,611,236
  5. Step 5: Solve for x
    x = 202,404,611,236/190,238
  6. Step 6: Final answer
    x = 1,063,954.68

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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.