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Finding the Third Proportional to 196,623 and 295,907

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Solution

The third proportional to 196,623 and 295,907 is: 445,324.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,623 : 295,907 = 295,907 : x
  2. Step 2: Convert to fraction form
    196,623/295,907 = 295,907/x
  3. Step 3: Cross multiply
    196,623x = 295,907 × 295,907
  4. Step 4: Simplify right side
    196,623x = 87,560,952,649
  5. Step 5: Solve for x
    x = 87,560,952,649/196,623
  6. Step 6: Final answer
    x = 445,324.06

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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.