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Finding the Third Proportional to 194,093 and 308,635

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Solution

The third proportional to 194,093 and 308,635 is: 490,772.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,093 : 308,635 = 308,635 : x
  2. Step 2: Convert to fraction form
    194,093/308,635 = 308,635/x
  3. Step 3: Cross multiply
    194,093x = 308,635 × 308,635
  4. Step 4: Simplify right side
    194,093x = 95,255,563,225
  5. Step 5: Solve for x
    x = 95,255,563,225/194,093
  6. Step 6: Final answer
    x = 490,772.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.