Finding the Third Proportional to 200 and 240
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Solution
The third proportional to 200 and 240 is: 288
Step by Step Solution
- Step 1: Write the proportion equation
200 : 240 = 240 : x - Step 2: Convert to fraction form
200/240 = 240/x - Step 3: Cross multiply
200x = 240 × 240 - Step 4: Simplify right side
200x = 57,600 - Step 5: Solve for x
x = 57,600/200 - Step 6: Final answer
x = 288
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Why These Related Problems?
These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.