Finding the Third Proportional to 194 and 362
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Solution
The third proportional to 194 and 362 is: 675.48
Step by Step Solution
- Step 1: Write the proportion equation
194 : 362 = 362 : x - Step 2: Convert to fraction form
194/362 = 362/x - Step 3: Cross multiply
194x = 362 × 362 - Step 4: Simplify right side
194x = 131,044 - Step 5: Solve for x
x = 131,044/194 - Step 6: Final answer
x = 675.48
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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.