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Finding the Third Proportional to 117.84 and 189.84

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Solution

The third proportional to 117.84 and 189.84 is: 305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.84 : 189.84 = 189.84 : x
  2. Step 2: Convert to fraction form
    117.84/189.84 = 189.84/x
  3. Step 3: Cross multiply
    117.84x = 189.84 × 189.84
  4. Step 4: Simplify right side
    117.84x = 36,040.65
  5. Step 5: Solve for x
    x = 36,040.65/117.84
  6. Step 6: Final answer
    x = 305.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.