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Finding the Third Proportional to 190,222 and 449,853

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Solution

The third proportional to 190,222 and 449,853 is: 1,063,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,222 : 449,853 = 449,853 : x
  2. Step 2: Convert to fraction form
    190,222/449,853 = 449,853/x
  3. Step 3: Cross multiply
    190,222x = 449,853 × 449,853
  4. Step 4: Simplify right side
    190,222x = 202,367,721,609
  5. Step 5: Solve for x
    x = 202,367,721,609/190,222
  6. Step 6: Final answer
    x = 1,063,850.25

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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.