Finding the Third Proportional to 234 and 256
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Solution
The third proportional to 234 and 256 is: 280.07
Step by Step Solution
- Step 1: Write the proportion equation
234 : 256 = 256 : x - Step 2: Convert to fraction form
234/256 = 256/x - Step 3: Cross multiply
234x = 256 × 256 - Step 4: Simplify right side
234x = 65,536 - Step 5: Solve for x
x = 65,536/234 - Step 6: Final answer
x = 280.07
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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.