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Finding the Third Proportional to 223,934 and 335,762

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Solution

The third proportional to 223,934 and 335,762 is: 503,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,934 : 335,762 = 335,762 : x
  2. Step 2: Convert to fraction form
    223,934/335,762 = 335,762/x
  3. Step 3: Cross multiply
    223,934x = 335,762 × 335,762
  4. Step 4: Simplify right side
    223,934x = 112,736,120,644
  5. Step 5: Solve for x
    x = 112,736,120,644/223,934
  6. Step 6: Final answer
    x = 503,434.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.