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Finding the Third Proportional to 226,298 and 471,190

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Solution

The third proportional to 226,298 and 471,190 is: 981,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,298 : 471,190 = 471,190 : x
  2. Step 2: Convert to fraction form
    226,298/471,190 = 471,190/x
  3. Step 3: Cross multiply
    226,298x = 471,190 × 471,190
  4. Step 4: Simplify right side
    226,298x = 222,020,016,100
  5. Step 5: Solve for x
    x = 222,020,016,100/226,298
  6. Step 6: Final answer
    x = 981,095.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.