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Finding the Third Proportional to 196,621.88 and 295,905.94

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Solution

The third proportional to 196,621.88 and 295,905.94 is: 445,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,621.88 : 295,905.94 = 295,905.94 : x
  2. Step 2: Convert to fraction form
    196,621.88/295,905.94 = 295,905.94/x
  3. Step 3: Cross multiply
    196,621.88x = 295,905.94 × 295,905.94
  4. Step 4: Simplify right side
    196,621.88x = 87,560,323,847.75
  5. Step 5: Solve for x
    x = 87,560,323,847.75/196,621.88
  6. Step 6: Final answer
    x = 445,323.41

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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.