Finding the Third Proportional to 102 and 276
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Solution
The third proportional to 102 and 276 is: 746.82
Step by Step Solution
- Step 1: Write the proportion equation
102 : 276 = 276 : x - Step 2: Convert to fraction form
102/276 = 276/x - Step 3: Cross multiply
102x = 276 × 276 - Step 4: Simplify right side
102x = 76,176 - Step 5: Solve for x
x = 76,176/102 - Step 6: Final answer
x = 746.82
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Why These Related Problems?
These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.