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Finding the Third Proportional to 226,274 and 335,496

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Solution

The third proportional to 226,274 and 335,496 is: 497,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,274 : 335,496 = 335,496 : x
  2. Step 2: Convert to fraction form
    226,274/335,496 = 335,496/x
  3. Step 3: Cross multiply
    226,274x = 335,496 × 335,496
  4. Step 4: Simplify right side
    226,274x = 112,557,566,016
  5. Step 5: Solve for x
    x = 112,557,566,016/226,274
  6. Step 6: Final answer
    x = 497,439.24

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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.