Finding the Third Proportional to 226 and 253
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Solution
The third proportional to 226 and 253 is: 283.23
Step by Step Solution
- Step 1: Write the proportion equation
226 : 253 = 253 : x - Step 2: Convert to fraction form
226/253 = 253/x - Step 3: Cross multiply
226x = 253 × 253 - Step 4: Simplify right side
226x = 64,009 - Step 5: Solve for x
x = 64,009/226 - Step 6: Final answer
x = 283.23
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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.