Finding the Third Proportional to 266 and 614
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Solution
The third proportional to 266 and 614 is: 1,417.28
Step by Step Solution
- Step 1: Write the proportion equation
266 : 614 = 614 : x - Step 2: Convert to fraction form
266/614 = 614/x - Step 3: Cross multiply
266x = 614 × 614 - Step 4: Simplify right side
266x = 376,996 - Step 5: Solve for x
x = 376,996/266 - Step 6: Final answer
x = 1,417.28
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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.