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Finding the Third Proportional to 196,821.50 and 295,180.75

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Solution

The third proportional to 196,821.50 and 295,180.75 is: 442,693.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,821.50 : 295,180.75 = 295,180.75 : x
  2. Step 2: Convert to fraction form
    196,821.50/295,180.75 = 295,180.75/x
  3. Step 3: Cross multiply
    196,821.50x = 295,180.75 × 295,180.75
  4. Step 4: Simplify right side
    196,821.50x = 87,131,675,170.56
  5. Step 5: Solve for x
    x = 87,131,675,170.56/196,821.50
  6. Step 6: Final answer
    x = 442,693.89

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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.