Finding the Third Proportional to 105 and 194.50
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Solution
The third proportional to 105 and 194.50 is: 360.29
Step by Step Solution
- Step 1: Write the proportion equation
105 : 194.50 = 194.50 : x - Step 2: Convert to fraction form
105/194.50 = 194.50/x - Step 3: Cross multiply
105x = 194.50 × 194.50 - Step 4: Simplify right side
105x = 37,830.25 - Step 5: Solve for x
x = 37,830.25/105 - Step 6: Final answer
x = 360.29
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Why These Related Problems?
These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.