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Finding the Third Proportional to 203,366 and 309,194

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Solution

The third proportional to 203,366 and 309,194 is: 470,092.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,366 : 309,194 = 309,194 : x
  2. Step 2: Convert to fraction form
    203,366/309,194 = 309,194/x
  3. Step 3: Cross multiply
    203,366x = 309,194 × 309,194
  4. Step 4: Simplify right side
    203,366x = 95,600,929,636
  5. Step 5: Solve for x
    x = 95,600,929,636/203,366
  6. Step 6: Final answer
    x = 470,092.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.