Finding the Third Proportional to 96,240 and 209,950
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Solution
The third proportional to 96,240 and 209,950 is: 458,011.25
Step by Step Solution
- Step 1: Write the proportion equation
96,240 : 209,950 = 209,950 : x - Step 2: Convert to fraction form
96,240/209,950 = 209,950/x - Step 3: Cross multiply
96,240x = 209,950 × 209,950 - Step 4: Simplify right side
96,240x = 44,079,002,500 - Step 5: Solve for x
x = 44,079,002,500/96,240 - Step 6: Final answer
x = 458,011.25
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.