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Finding the Third Proportional to 203,842 and 308,842

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Solution

The third proportional to 203,842 and 308,842 is: 467,928.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,842 : 308,842 = 308,842 : x
  2. Step 2: Convert to fraction form
    203,842/308,842 = 308,842/x
  3. Step 3: Cross multiply
    203,842x = 308,842 × 308,842
  4. Step 4: Simplify right side
    203,842x = 95,383,380,964
  5. Step 5: Solve for x
    x = 95,383,380,964/203,842
  6. Step 6: Final answer
    x = 467,928.01

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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.