Finding the Third Proportional to 178.50 and 365.25
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Solution
The third proportional to 178.50 and 365.25 is: 747.38
Step by Step Solution
- Step 1: Write the proportion equation
178.50 : 365.25 = 365.25 : x - Step 2: Convert to fraction form
178.50/365.25 = 365.25/x - Step 3: Cross multiply
178.50x = 365.25 × 365.25 - Step 4: Simplify right side
178.50x = 133,407.56 - Step 5: Solve for x
x = 133,407.56/178.50 - Step 6: Final answer
x = 747.38
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.