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Finding the Third Proportional to 196.44 and 305.88

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Solution

The third proportional to 196.44 and 305.88 is: 476.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.44 : 305.88 = 305.88 : x
  2. Step 2: Convert to fraction form
    196.44/305.88 = 305.88/x
  3. Step 3: Cross multiply
    196.44x = 305.88 × 305.88
  4. Step 4: Simplify right side
    196.44x = 93,559.52
  5. Step 5: Solve for x
    x = 93,559.52/196.44
  6. Step 6: Final answer
    x = 476.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.