Finding the Third Proportional to 117.50 and 269.75
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Solution
The third proportional to 117.50 and 269.75 is: 619.28
Step by Step Solution
- Step 1: Write the proportion equation
117.50 : 269.75 = 269.75 : x - Step 2: Convert to fraction form
117.50/269.75 = 269.75/x - Step 3: Cross multiply
117.50x = 269.75 × 269.75 - Step 4: Simplify right side
117.50x = 72,765.06 - Step 5: Solve for x
x = 72,765.06/117.50 - Step 6: Final answer
x = 619.28
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Why These Related Problems?
These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.