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Finding the Third Proportional to 222,069.75 and 488,426.25

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Solution

The third proportional to 222,069.75 and 488,426.25 is: 1,074,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,069.75 : 488,426.25 = 488,426.25 : x
  2. Step 2: Convert to fraction form
    222,069.75/488,426.25 = 488,426.25/x
  3. Step 3: Cross multiply
    222,069.75x = 488,426.25 × 488,426.25
  4. Step 4: Simplify right side
    222,069.75x = 238,560,201,689.06
  5. Step 5: Solve for x
    x = 238,560,201,689.06/222,069.75
  6. Step 6: Final answer
    x = 1,074,257.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.