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Finding the Third Proportional to 222,806 and 365,757

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Solution

The third proportional to 222,806 and 365,757 is: 600,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,806 : 365,757 = 365,757 : x
  2. Step 2: Convert to fraction form
    222,806/365,757 = 365,757/x
  3. Step 3: Cross multiply
    222,806x = 365,757 × 365,757
  4. Step 4: Simplify right side
    222,806x = 133,778,183,049
  5. Step 5: Solve for x
    x = 133,778,183,049/222,806
  6. Step 6: Final answer
    x = 600,424.51

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.