Finding the Third Proportional to 208,743.75 and 312,564.75
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Solution
The third proportional to 208,743.75 and 312,564.75 is: 468,022.27
Step by Step Solution
- Step 1: Write the proportion equation
208,743.75 : 312,564.75 = 312,564.75 : x - Step 2: Convert to fraction form
208,743.75/312,564.75 = 312,564.75/x - Step 3: Cross multiply
208,743.75x = 312,564.75 × 312,564.75 - Step 4: Simplify right side
208,743.75x = 97,696,722,942.56 - Step 5: Solve for x
x = 97,696,722,942.56/208,743.75 - Step 6: Final answer
x = 468,022.27
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.