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Finding the Third Proportional to 196,884 and 295,266

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Solution

The third proportional to 196,884 and 295,266 is: 442,809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,884 : 295,266 = 295,266 : x
  2. Step 2: Convert to fraction form
    196,884/295,266 = 295,266/x
  3. Step 3: Cross multiply
    196,884x = 295,266 × 295,266
  4. Step 4: Simplify right side
    196,884x = 87,182,010,756
  5. Step 5: Solve for x
    x = 87,182,010,756/196,884
  6. Step 6: Final answer
    x = 442,809.02

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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.