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Finding the Third Proportional to 222,817.50 and 481,142.25

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Solution

The third proportional to 222,817.50 and 481,142.25 is: 1,038,957.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,817.50 : 481,142.25 = 481,142.25 : x
  2. Step 2: Convert to fraction form
    222,817.50/481,142.25 = 481,142.25/x
  3. Step 3: Cross multiply
    222,817.50x = 481,142.25 × 481,142.25
  4. Step 4: Simplify right side
    222,817.50x = 231,497,864,735.06
  5. Step 5: Solve for x
    x = 231,497,864,735.06/222,817.50
  6. Step 6: Final answer
    x = 1,038,957.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.