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Finding the Third Proportional to 222,934 and 485,235

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Solution

The third proportional to 222,934 and 485,235 is: 1,056,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,934 : 485,235 = 485,235 : x
  2. Step 2: Convert to fraction form
    222,934/485,235 = 485,235/x
  3. Step 3: Cross multiply
    222,934x = 485,235 × 485,235
  4. Step 4: Simplify right side
    222,934x = 235,453,005,225
  5. Step 5: Solve for x
    x = 235,453,005,225/222,934
  6. Step 6: Final answer
    x = 1,056,155.66

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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.