Finding the Third Proportional to 261 and 348.75
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Solution
The third proportional to 261 and 348.75 is: 466.00
Step by Step Solution
- Step 1: Write the proportion equation
261 : 348.75 = 348.75 : x - Step 2: Convert to fraction form
261/348.75 = 348.75/x - Step 3: Cross multiply
261x = 348.75 × 348.75 - Step 4: Simplify right side
261x = 121,626.56 - Step 5: Solve for x
x = 121,626.56/261 - Step 6: Final answer
x = 466.00
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.