Finding the Third Proportional to 282 and 338.50
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Solution
The third proportional to 282 and 338.50 is: 406.32
Step by Step Solution
- Step 1: Write the proportion equation
282 : 338.50 = 338.50 : x - Step 2: Convert to fraction form
282/338.50 = 338.50/x - Step 3: Cross multiply
282x = 338.50 × 338.50 - Step 4: Simplify right side
282x = 114,582.25 - Step 5: Solve for x
x = 114,582.25/282 - Step 6: Final answer
x = 406.32
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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.