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Finding the Third Proportional to 222,722 and 302,593

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Solution

The third proportional to 222,722 and 302,593 is: 411,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,722 : 302,593 = 302,593 : x
  2. Step 2: Convert to fraction form
    222,722/302,593 = 302,593/x
  3. Step 3: Cross multiply
    222,722x = 302,593 × 302,593
  4. Step 4: Simplify right side
    222,722x = 91,562,523,649
  5. Step 5: Solve for x
    x = 91,562,523,649/222,722
  6. Step 6: Final answer
    x = 411,106.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.