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Finding the Third Proportional to 177.94 and 414.47

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Solution

The third proportional to 177.94 and 414.47 is: 965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.94 : 414.47 = 414.47 : x
  2. Step 2: Convert to fraction form
    177.94/414.47 = 414.47/x
  3. Step 3: Cross multiply
    177.94x = 414.47 × 414.47
  4. Step 4: Simplify right side
    177.94x = 171,784.34
  5. Step 5: Solve for x
    x = 171,784.34/177.94
  6. Step 6: Final answer
    x = 965.42

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.