Finding the Third Proportional to 177 and 480
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Solution
The third proportional to 177 and 480 is: 1,301.69
Step by Step Solution
- Step 1: Write the proportion equation
177 : 480 = 480 : x - Step 2: Convert to fraction form
177/480 = 480/x - Step 3: Cross multiply
177x = 480 × 480 - Step 4: Simplify right side
177x = 230,400 - Step 5: Solve for x
x = 230,400/177 - Step 6: Final answer
x = 1,301.69
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These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.