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Finding the Third Proportional to 189.44 and 277.94

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Solution

The third proportional to 189.44 and 277.94 is: 407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.44 : 277.94 = 277.94 : x
  2. Step 2: Convert to fraction form
    189.44/277.94 = 277.94/x
  3. Step 3: Cross multiply
    189.44x = 277.94 × 277.94
  4. Step 4: Simplify right side
    189.44x = 77,249.25
  5. Step 5: Solve for x
    x = 77,249.25/189.44
  6. Step 6: Final answer
    x = 407.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.