Finding the Third Proportional to 176.25 and 408.75
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Solution
The third proportional to 176.25 and 408.75 is: 947.95
Step by Step Solution
- Step 1: Write the proportion equation
176.25 : 408.75 = 408.75 : x - Step 2: Convert to fraction form
176.25/408.75 = 408.75/x - Step 3: Cross multiply
176.25x = 408.75 × 408.75 - Step 4: Simplify right side
176.25x = 167,076.56 - Step 5: Solve for x
x = 167,076.56/176.25 - Step 6: Final answer
x = 947.95
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.