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Finding the Third Proportional to 222,811.50 and 481,131

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Solution

The third proportional to 222,811.50 and 481,131 is: 1,038,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,811.50 : 481,131 = 481,131 : x
  2. Step 2: Convert to fraction form
    222,811.50/481,131 = 481,131/x
  3. Step 3: Cross multiply
    222,811.50x = 481,131 × 481,131
  4. Step 4: Simplify right side
    222,811.50x = 231,487,039,161
  5. Step 5: Solve for x
    x = 231,487,039,161/222,811.50
  6. Step 6: Final answer
    x = 1,038,936.68

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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.