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Finding the Third Proportional to 196,170.94 and 295,699.25

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Solution

The third proportional to 196,170.94 and 295,699.25 is: 445,723.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,170.94 : 295,699.25 = 295,699.25 : x
  2. Step 2: Convert to fraction form
    196,170.94/295,699.25 = 295,699.25/x
  3. Step 3: Cross multiply
    196,170.94x = 295,699.25 × 295,699.25
  4. Step 4: Simplify right side
    196,170.94x = 87,438,046,450.56
  5. Step 5: Solve for x
    x = 87,438,046,450.56/196,170.94
  6. Step 6: Final answer
    x = 445,723.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.