Finding the Third Proportional to 178 and 475
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Solution
The third proportional to 178 and 475 is: 1,267.56
Step by Step Solution
- Step 1: Write the proportion equation
178 : 475 = 475 : x - Step 2: Convert to fraction form
178/475 = 475/x - Step 3: Cross multiply
178x = 475 × 475 - Step 4: Simplify right side
178x = 225,625 - Step 5: Solve for x
x = 225,625/178 - Step 6: Final answer
x = 1,267.56
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Why These Related Problems?
These problems maintain the same ratio (2.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.