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Finding the Third Proportional to 196.73 and 455.98

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Solution

The third proportional to 196.73 and 455.98 is: 1,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.73 : 455.98 = 455.98 : x
  2. Step 2: Convert to fraction form
    196.73/455.98 = 455.98/x
  3. Step 3: Cross multiply
    196.73x = 455.98 × 455.98
  4. Step 4: Simplify right side
    196.73x = 207,914.63
  5. Step 5: Solve for x
    x = 207,914.63/196.73
  6. Step 6: Final answer
    x = 1,056.83

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.