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Finding the Third Proportional to 223,204 and 335,315

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Solution

The third proportional to 223,204 and 335,315 is: 503,737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,204 : 335,315 = 335,315 : x
  2. Step 2: Convert to fraction form
    223,204/335,315 = 335,315/x
  3. Step 3: Cross multiply
    223,204x = 335,315 × 335,315
  4. Step 4: Simplify right side
    223,204x = 112,436,149,225
  5. Step 5: Solve for x
    x = 112,436,149,225/223,204
  6. Step 6: Final answer
    x = 503,737.16

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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.