Finding the Third Proportional to 160,197.75 and 225,838.13
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Solution
The third proportional to 160,197.75 and 225,838.13 is: 318,374.38
Step by Step Solution
- Step 1: Write the proportion equation
160,197.75 : 225,838.13 = 225,838.13 : x - Step 2: Convert to fraction form
160,197.75/225,838.13 = 225,838.13/x - Step 3: Cross multiply
160,197.75x = 225,838.13 × 225,838.13 - Step 4: Simplify right side
160,197.75x = 51,002,858,703.52 - Step 5: Solve for x
x = 51,002,858,703.52/160,197.75 - Step 6: Final answer
x = 318,374.38
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.