Finding the Third Proportional to 205.25 and 223.50
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Solution
The third proportional to 205.25 and 223.50 is: 243.37
Step by Step Solution
- Step 1: Write the proportion equation
205.25 : 223.50 = 223.50 : x - Step 2: Convert to fraction form
205.25/223.50 = 223.50/x - Step 3: Cross multiply
205.25x = 223.50 × 223.50 - Step 4: Simplify right side
205.25x = 49,952.25 - Step 5: Solve for x
x = 49,952.25/205.25 - Step 6: Final answer
x = 243.37
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.