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Finding the Third Proportional to 75.94 and 178.88

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Solution

The third proportional to 75.94 and 178.88 is: 421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.94 : 178.88 = 178.88 : x
  2. Step 2: Convert to fraction form
    75.94/178.88 = 178.88/x
  3. Step 3: Cross multiply
    75.94x = 178.88 × 178.88
  4. Step 4: Simplify right side
    75.94x = 31,996.27
  5. Step 5: Solve for x
    x = 31,996.27/75.94
  6. Step 6: Final answer
    x = 421.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.