Finding the Third Proportional to 660 and 1,178
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Solution
The third proportional to 660 and 1,178 is: 2,102.55
Step by Step Solution
- Step 1: Write the proportion equation
660 : 1,178 = 1,178 : x - Step 2: Convert to fraction form
660/1,178 = 1,178/x - Step 3: Cross multiply
660x = 1,178 × 1,178 - Step 4: Simplify right side
660x = 1,387,684 - Step 5: Solve for x
x = 1,387,684/660 - Step 6: Final answer
x = 2,102.55
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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.