Finding the Third Proportional to 194 and 282
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Solution
The third proportional to 194 and 282 is: 409.92
Step by Step Solution
- Step 1: Write the proportion equation
194 : 282 = 282 : x - Step 2: Convert to fraction form
194/282 = 282/x - Step 3: Cross multiply
194x = 282 × 282 - Step 4: Simplify right side
194x = 79,524 - Step 5: Solve for x
x = 79,524/194 - Step 6: Final answer
x = 409.92
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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.