Finding the Third Proportional to 174.66 and 265.78
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Solution
The third proportional to 174.66 and 265.78 is: 404.45
Step by Step Solution
- Step 1: Write the proportion equation
174.66 : 265.78 = 265.78 : x - Step 2: Convert to fraction form
174.66/265.78 = 265.78/x - Step 3: Cross multiply
174.66x = 265.78 × 265.78 - Step 4: Simplify right side
174.66x = 70,639.67 - Step 5: Solve for x
x = 70,639.67/174.66 - Step 6: Final answer
x = 404.45
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.