Finding the Third Proportional to 178,620 and 381,804
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Solution
The third proportional to 178,620 and 381,804 is: 816,114.07
Step by Step Solution
- Step 1: Write the proportion equation
178,620 : 381,804 = 381,804 : x - Step 2: Convert to fraction form
178,620/381,804 = 381,804/x - Step 3: Cross multiply
178,620x = 381,804 × 381,804 - Step 4: Simplify right side
178,620x = 145,774,294,416 - Step 5: Solve for x
x = 145,774,294,416/178,620 - Step 6: Final answer
x = 816,114.07
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.