Finding the Third Proportional to 146,942 and 320,524
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Solution
The third proportional to 146,942 and 320,524 is: 699,157.73
Step by Step Solution
- Step 1: Write the proportion equation
146,942 : 320,524 = 320,524 : x - Step 2: Convert to fraction form
146,942/320,524 = 320,524/x - Step 3: Cross multiply
146,942x = 320,524 × 320,524 - Step 4: Simplify right side
146,942x = 102,735,634,576 - Step 5: Solve for x
x = 102,735,634,576/146,942 - Step 6: Final answer
x = 699,157.73
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.