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Finding the Third Proportional to 226,837 and 495,225

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Solution

The third proportional to 226,837 and 495,225 is: 1,081,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,837 : 495,225 = 495,225 : x
  2. Step 2: Convert to fraction form
    226,837/495,225 = 495,225/x
  3. Step 3: Cross multiply
    226,837x = 495,225 × 495,225
  4. Step 4: Simplify right side
    226,837x = 245,247,800,625
  5. Step 5: Solve for x
    x = 245,247,800,625/226,837
  6. Step 6: Final answer
    x = 1,081,163.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.