Finding the Third Proportional to 194 and 340
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Solution
The third proportional to 194 and 340 is: 595.88
Step by Step Solution
- Step 1: Write the proportion equation
194 : 340 = 340 : x - Step 2: Convert to fraction form
194/340 = 340/x - Step 3: Cross multiply
194x = 340 × 340 - Step 4: Simplify right side
194x = 115,600 - Step 5: Solve for x
x = 115,600/194 - Step 6: Final answer
x = 595.88
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These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.