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Finding the Third Proportional to 223,257 and 335,385

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Solution

The third proportional to 223,257 and 335,385 is: 503,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,257 : 335,385 = 335,385 : x
  2. Step 2: Convert to fraction form
    223,257/335,385 = 335,385/x
  3. Step 3: Cross multiply
    223,257x = 335,385 × 335,385
  4. Step 4: Simplify right side
    223,257x = 112,483,098,225
  5. Step 5: Solve for x
    x = 112,483,098,225/223,257
  6. Step 6: Final answer
    x = 503,827.87

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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.