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Finding the Third Proportional to 222,183 and 347,004

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Solution

The third proportional to 222,183 and 347,004 is: 541,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,183 : 347,004 = 347,004 : x
  2. Step 2: Convert to fraction form
    222,183/347,004 = 347,004/x
  3. Step 3: Cross multiply
    222,183x = 347,004 × 347,004
  4. Step 4: Simplify right side
    222,183x = 120,411,776,016
  5. Step 5: Solve for x
    x = 120,411,776,016/222,183
  6. Step 6: Final answer
    x = 541,948.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.