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Finding the Third Proportional to 222,755 and 345,230

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Solution

The third proportional to 222,755 and 345,230 is: 535,044.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,755 : 345,230 = 345,230 : x
  2. Step 2: Convert to fraction form
    222,755/345,230 = 345,230/x
  3. Step 3: Cross multiply
    222,755x = 345,230 × 345,230
  4. Step 4: Simplify right side
    222,755x = 119,183,752,900
  5. Step 5: Solve for x
    x = 119,183,752,900/222,755
  6. Step 6: Final answer
    x = 535,044.12

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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.