Finding the Third Proportional to 218,840 and 471,160
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Solution
The third proportional to 218,840 and 471,160 is: 1,014,402.05
Step by Step Solution
- Step 1: Write the proportion equation
218,840 : 471,160 = 471,160 : x - Step 2: Convert to fraction form
218,840/471,160 = 471,160/x - Step 3: Cross multiply
218,840x = 471,160 × 471,160 - Step 4: Simplify right side
218,840x = 221,991,745,600 - Step 5: Solve for x
x = 221,991,745,600/218,840 - Step 6: Final answer
x = 1,014,402.05
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.