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Finding the Third Proportional to 222,159 and 483,738

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Solution

The third proportional to 222,159 and 483,738 is: 1,053,310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,159 : 483,738 = 483,738 : x
  2. Step 2: Convert to fraction form
    222,159/483,738 = 483,738/x
  3. Step 3: Cross multiply
    222,159x = 483,738 × 483,738
  4. Step 4: Simplify right side
    222,159x = 234,002,452,644
  5. Step 5: Solve for x
    x = 234,002,452,644/222,159
  6. Step 6: Final answer
    x = 1,053,310.70

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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.