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Finding the Third Proportional to 226,328 and 341,799

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Solution

The third proportional to 226,328 and 341,799 is: 516,182.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,328 : 341,799 = 341,799 : x
  2. Step 2: Convert to fraction form
    226,328/341,799 = 341,799/x
  3. Step 3: Cross multiply
    226,328x = 341,799 × 341,799
  4. Step 4: Simplify right side
    226,328x = 116,826,556,401
  5. Step 5: Solve for x
    x = 116,826,556,401/226,328
  6. Step 6: Final answer
    x = 516,182.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.