Finding the Third Proportional to 160,274 and 342,783
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Solution
The third proportional to 160,274 and 342,783 is: 733,120.69
Step by Step Solution
- Step 1: Write the proportion equation
160,274 : 342,783 = 342,783 : x - Step 2: Convert to fraction form
160,274/342,783 = 342,783/x - Step 3: Cross multiply
160,274x = 342,783 × 342,783 - Step 4: Simplify right side
160,274x = 117,500,185,089 - Step 5: Solve for x
x = 117,500,185,089/160,274 - Step 6: Final answer
x = 733,120.69
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.