Finding the Third Proportional to 194 and 260
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Solution
The third proportional to 194 and 260 is: 348.45
Step by Step Solution
- Step 1: Write the proportion equation
194 : 260 = 260 : x - Step 2: Convert to fraction form
194/260 = 260/x - Step 3: Cross multiply
194x = 260 × 260 - Step 4: Simplify right side
194x = 67,600 - Step 5: Solve for x
x = 67,600/194 - Step 6: Final answer
x = 348.45
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.