Finding the Third Proportional to 278 and 485
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Solution
The third proportional to 278 and 485 is: 846.13
Step by Step Solution
- Step 1: Write the proportion equation
278 : 485 = 485 : x - Step 2: Convert to fraction form
278/485 = 485/x - Step 3: Cross multiply
278x = 485 × 485 - Step 4: Simplify right side
278x = 235,225 - Step 5: Solve for x
x = 235,225/278 - Step 6: Final answer
x = 846.13
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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.