Finding the Third Proportional to 90.75 and 170.25
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Solution
The third proportional to 90.75 and 170.25 is: 319.39
Step by Step Solution
- Step 1: Write the proportion equation
90.75 : 170.25 = 170.25 : x - Step 2: Convert to fraction form
90.75/170.25 = 170.25/x - Step 3: Cross multiply
90.75x = 170.25 × 170.25 - Step 4: Simplify right side
90.75x = 28,985.06 - Step 5: Solve for x
x = 28,985.06/90.75 - Step 6: Final answer
x = 319.39
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Why These Related Problems?
These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.