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Finding the Third Proportional to 222,183 and 344,130

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Solution

The third proportional to 222,183 and 344,130 is: 533,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,183 : 344,130 = 344,130 : x
  2. Step 2: Convert to fraction form
    222,183/344,130 = 344,130/x
  3. Step 3: Cross multiply
    222,183x = 344,130 × 344,130
  4. Step 4: Simplify right side
    222,183x = 118,425,456,900
  5. Step 5: Solve for x
    x = 118,425,456,900/222,183
  6. Step 6: Final answer
    x = 533,008.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.