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Finding the Third Proportional to 177.94 and 427.22

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Solution

The third proportional to 177.94 and 427.22 is: 1,025.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.94 : 427.22 = 427.22 : x
  2. Step 2: Convert to fraction form
    177.94/427.22 = 427.22/x
  3. Step 3: Cross multiply
    177.94x = 427.22 × 427.22
  4. Step 4: Simplify right side
    177.94x = 182,515.86
  5. Step 5: Solve for x
    x = 182,515.86/177.94
  6. Step 6: Final answer
    x = 1,025.73

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.