Finding the Third Proportional to 154,727.50 and 208,763
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Solution
The third proportional to 154,727.50 and 208,763 is: 281,669.32
Step by Step Solution
- Step 1: Write the proportion equation
154,727.50 : 208,763 = 208,763 : x - Step 2: Convert to fraction form
154,727.50/208,763 = 208,763/x - Step 3: Cross multiply
154,727.50x = 208,763 × 208,763 - Step 4: Simplify right side
154,727.50x = 43,581,990,169 - Step 5: Solve for x
x = 43,581,990,169/154,727.50 - Step 6: Final answer
x = 281,669.32
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.