Finding the Third Proportional to 270,546.75 and 422,195.63
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Solution
The third proportional to 270,546.75 and 422,195.63 is: 658,847.85
Step by Step Solution
- Step 1: Write the proportion equation
270,546.75 : 422,195.63 = 422,195.63 : x - Step 2: Convert to fraction form
270,546.75/422,195.63 = 422,195.63/x - Step 3: Cross multiply
270,546.75x = 422,195.63 × 422,195.63 - Step 4: Simplify right side
270,546.75x = 178,249,145,769.14 - Step 5: Solve for x
x = 178,249,145,769.14/270,546.75 - Step 6: Final answer
x = 658,847.85
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.