Finding the Third Proportional to 260 and 286
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Solution
The third proportional to 260 and 286 is: 314.60
Step by Step Solution
- Step 1: Write the proportion equation
260 : 286 = 286 : x - Step 2: Convert to fraction form
260/286 = 286/x - Step 3: Cross multiply
260x = 286 × 286 - Step 4: Simplify right side
260x = 81,796 - Step 5: Solve for x
x = 81,796/260 - Step 6: Final answer
x = 314.60
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.