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Finding the Third Proportional to 196.75 and 429.44

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Solution

The third proportional to 196.75 and 429.44 is: 937.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.75 : 429.44 = 429.44 : x
  2. Step 2: Convert to fraction form
    196.75/429.44 = 429.44/x
  3. Step 3: Cross multiply
    196.75x = 429.44 × 429.44
  4. Step 4: Simplify right side
    196.75x = 184,416.57
  5. Step 5: Solve for x
    x = 184,416.57/196.75
  6. Step 6: Final answer
    x = 937.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.