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Finding the Third Proportional to 222,661.50 and 485,285

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Solution

The third proportional to 222,661.50 and 485,285 is: 1,057,666.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,661.50 : 485,285 = 485,285 : x
  2. Step 2: Convert to fraction form
    222,661.50/485,285 = 485,285/x
  3. Step 3: Cross multiply
    222,661.50x = 485,285 × 485,285
  4. Step 4: Simplify right side
    222,661.50x = 235,501,531,225
  5. Step 5: Solve for x
    x = 235,501,531,225/222,661.50
  6. Step 6: Final answer
    x = 1,057,666.15

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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.