Finding the Third Proportional to 96 and 205.50
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Solution
The third proportional to 96 and 205.50 is: 439.90
Step by Step Solution
- Step 1: Write the proportion equation
96 : 205.50 = 205.50 : x - Step 2: Convert to fraction form
96/205.50 = 205.50/x - Step 3: Cross multiply
96x = 205.50 × 205.50 - Step 4: Simplify right side
96x = 42,230.25 - Step 5: Solve for x
x = 42,230.25/96 - Step 6: Final answer
x = 439.90
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.