Finding the Third Proportional to 270 and 668
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Solution
The third proportional to 270 and 668 is: 1,652.68
Step by Step Solution
- Step 1: Write the proportion equation
270 : 668 = 668 : x - Step 2: Convert to fraction form
270/668 = 668/x - Step 3: Cross multiply
270x = 668 × 668 - Step 4: Simplify right side
270x = 446,224 - Step 5: Solve for x
x = 446,224/270 - Step 6: Final answer
x = 1,652.68
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These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.