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Finding the Third Proportional to 222,806.25 and 481,124.25

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Solution

The third proportional to 222,806.25 and 481,124.25 is: 1,038,932.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,806.25 : 481,124.25 = 481,124.25 : x
  2. Step 2: Convert to fraction form
    222,806.25/481,124.25 = 481,124.25/x
  3. Step 3: Cross multiply
    222,806.25x = 481,124.25 × 481,124.25
  4. Step 4: Simplify right side
    222,806.25x = 231,480,543,938.06
  5. Step 5: Solve for x
    x = 231,480,543,938.06/222,806.25
  6. Step 6: Final answer
    x = 1,038,932.00

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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.