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Finding the Third Proportional to 222,667.50 and 485,295

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Solution

The third proportional to 222,667.50 and 485,295 is: 1,057,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,667.50 : 485,295 = 485,295 : x
  2. Step 2: Convert to fraction form
    222,667.50/485,295 = 485,295/x
  3. Step 3: Cross multiply
    222,667.50x = 485,295 × 485,295
  4. Step 4: Simplify right side
    222,667.50x = 235,511,237,025
  5. Step 5: Solve for x
    x = 235,511,237,025/222,667.50
  6. Step 6: Final answer
    x = 1,057,681.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.