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Finding the Third Proportional to 226,848 and 335,086

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Solution

The third proportional to 226,848 and 335,086 is: 494,968.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,848 : 335,086 = 335,086 : x
  2. Step 2: Convert to fraction form
    226,848/335,086 = 335,086/x
  3. Step 3: Cross multiply
    226,848x = 335,086 × 335,086
  4. Step 4: Simplify right side
    226,848x = 112,282,627,396
  5. Step 5: Solve for x
    x = 112,282,627,396/226,848
  6. Step 6: Final answer
    x = 494,968.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.