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Finding the Third Proportional to 225,544 and 337,620

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Solution

The third proportional to 225,544 and 337,620 is: 505,388.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,544 : 337,620 = 337,620 : x
  2. Step 2: Convert to fraction form
    225,544/337,620 = 337,620/x
  3. Step 3: Cross multiply
    225,544x = 337,620 × 337,620
  4. Step 4: Simplify right side
    225,544x = 113,987,264,400
  5. Step 5: Solve for x
    x = 113,987,264,400/225,544
  6. Step 6: Final answer
    x = 505,388.15

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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.