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Finding the Third Proportional to 225,354 and 337,329

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Solution

The third proportional to 225,354 and 337,329 is: 504,942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,354 : 337,329 = 337,329 : x
  2. Step 2: Convert to fraction form
    225,354/337,329 = 337,329/x
  3. Step 3: Cross multiply
    225,354x = 337,329 × 337,329
  4. Step 4: Simplify right side
    225,354x = 113,790,854,241
  5. Step 5: Solve for x
    x = 113,790,854,241/225,354
  6. Step 6: Final answer
    x = 504,942.69

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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.