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Finding the Third Proportional to 177.94 and 283.97

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Solution

The third proportional to 177.94 and 283.97 is: 453.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.94 : 283.97 = 283.97 : x
  2. Step 2: Convert to fraction form
    177.94/283.97 = 283.97/x
  3. Step 3: Cross multiply
    177.94x = 283.97 × 283.97
  4. Step 4: Simplify right side
    177.94x = 80,638.25
  5. Step 5: Solve for x
    x = 80,638.25/177.94
  6. Step 6: Final answer
    x = 453.18

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.