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Finding the Third Proportional to 203,190 and 467,304

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Solution

The third proportional to 203,190 and 467,304 is: 1,074,723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,190 : 467,304 = 467,304 : x
  2. Step 2: Convert to fraction form
    203,190/467,304 = 467,304/x
  3. Step 3: Cross multiply
    203,190x = 467,304 × 467,304
  4. Step 4: Simplify right side
    203,190x = 218,373,028,416
  5. Step 5: Solve for x
    x = 218,373,028,416/203,190
  6. Step 6: Final answer
    x = 1,074,723.31

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.