Finding the Third Proportional to 268,143 and 414,798
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Solution
The third proportional to 268,143 and 414,798 is: 641,662.77
Step by Step Solution
- Step 1: Write the proportion equation
268,143 : 414,798 = 414,798 : x - Step 2: Convert to fraction form
268,143/414,798 = 414,798/x - Step 3: Cross multiply
268,143x = 414,798 × 414,798 - Step 4: Simplify right side
268,143x = 172,057,380,804 - Step 5: Solve for x
x = 172,057,380,804/268,143 - Step 6: Final answer
x = 641,662.77
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.