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Finding the Third Proportional to 189.84 and 277.17

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Solution

The third proportional to 189.84 and 277.17 is: 404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 277.17 = 277.17 : x
  2. Step 2: Convert to fraction form
    189.84/277.17 = 277.17/x
  3. Step 3: Cross multiply
    189.84x = 277.17 × 277.17
  4. Step 4: Simplify right side
    189.84x = 76,824.25
  5. Step 5: Solve for x
    x = 76,824.25/189.84
  6. Step 6: Final answer
    x = 404.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.