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Finding the Third Proportional to 196.31 and 458.44

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Solution

The third proportional to 196.31 and 458.44 is: 1,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.31 : 458.44 = 458.44 : x
  2. Step 2: Convert to fraction form
    196.31/458.44 = 458.44/x
  3. Step 3: Cross multiply
    196.31x = 458.44 × 458.44
  4. Step 4: Simplify right side
    196.31x = 210,164.94
  5. Step 5: Solve for x
    x = 210,164.94/196.31
  6. Step 6: Final answer
    x = 1,070.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.