Finding the Third Proportional to 260 and 298
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Solution
The third proportional to 260 and 298 is: 341.55
Step by Step Solution
- Step 1: Write the proportion equation
260 : 298 = 298 : x - Step 2: Convert to fraction form
260/298 = 298/x - Step 3: Cross multiply
260x = 298 × 298 - Step 4: Simplify right side
260x = 88,804 - Step 5: Solve for x
x = 88,804/260 - Step 6: Final answer
x = 341.55
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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.