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Finding the Third Proportional to 223,933 and 335,758

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Solution

The third proportional to 223,933 and 335,758 is: 503,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,933 : 335,758 = 335,758 : x
  2. Step 2: Convert to fraction form
    223,933/335,758 = 335,758/x
  3. Step 3: Cross multiply
    223,933x = 335,758 × 335,758
  4. Step 4: Simplify right side
    223,933x = 112,733,434,564
  5. Step 5: Solve for x
    x = 112,733,434,564/223,933
  6. Step 6: Final answer
    x = 503,424.84

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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.