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Finding the Third Proportional to 183.94 and 421.88

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Solution

The third proportional to 183.94 and 421.88 is: 967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.94 : 421.88 = 421.88 : x
  2. Step 2: Convert to fraction form
    183.94/421.88 = 421.88/x
  3. Step 3: Cross multiply
    183.94x = 421.88 × 421.88
  4. Step 4: Simplify right side
    183.94x = 177,978.52
  5. Step 5: Solve for x
    x = 177,978.52/183.94
  6. Step 6: Final answer
    x = 967.60

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.