Finding the Third Proportional to 261.50 and 360.25
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Solution
The third proportional to 261.50 and 360.25 is: 496.29
Step by Step Solution
- Step 1: Write the proportion equation
261.50 : 360.25 = 360.25 : x - Step 2: Convert to fraction form
261.50/360.25 = 360.25/x - Step 3: Cross multiply
261.50x = 360.25 × 360.25 - Step 4: Simplify right side
261.50x = 129,780.06 - Step 5: Solve for x
x = 129,780.06/261.50 - Step 6: Final answer
x = 496.29
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.