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Finding the Third Proportional to 203,364 and 309,192

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Solution

The third proportional to 203,364 and 309,192 is: 470,091.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,364 : 309,192 = 309,192 : x
  2. Step 2: Convert to fraction form
    203,364/309,192 = 309,192/x
  3. Step 3: Cross multiply
    203,364x = 309,192 × 309,192
  4. Step 4: Simplify right side
    203,364x = 95,599,692,864
  5. Step 5: Solve for x
    x = 95,599,692,864/203,364
  6. Step 6: Final answer
    x = 470,091.52

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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.