Finding the Third Proportional to 179 and 447
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Solution
The third proportional to 179 and 447 is: 1,116.25
Step by Step Solution
- Step 1: Write the proportion equation
179 : 447 = 447 : x - Step 2: Convert to fraction form
179/447 = 447/x - Step 3: Cross multiply
179x = 447 × 447 - Step 4: Simplify right side
179x = 199,809 - Step 5: Solve for x
x = 199,809/179 - Step 6: Final answer
x = 1,116.25
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These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.