Finding the Third Proportional to 76,175.44 and 176,321.81
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Solution
The third proportional to 76,175.44 and 176,321.81 is: 408,128.69
Step by Step Solution
- Step 1: Write the proportion equation
76,175.44 : 176,321.81 = 176,321.81 : x - Step 2: Convert to fraction form
76,175.44/176,321.81 = 176,321.81/x - Step 3: Cross multiply
76,175.44x = 176,321.81 × 176,321.81 - Step 4: Simplify right side
76,175.44x = 31,089,381,563.29 - Step 5: Solve for x
x = 31,089,381,563.29/76,175.44 - Step 6: Final answer
x = 408,128.69
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Why These Related Problems?
These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.