Finding the Third Proportional to 188,160 and 413,184
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Solution
The third proportional to 188,160 and 413,184 is: 907,318.33
Step by Step Solution
- Step 1: Write the proportion equation
188,160 : 413,184 = 413,184 : x - Step 2: Convert to fraction form
188,160/413,184 = 413,184/x - Step 3: Cross multiply
188,160x = 413,184 × 413,184 - Step 4: Simplify right side
188,160x = 170,721,017,856 - Step 5: Solve for x
x = 170,721,017,856/188,160 - Step 6: Final answer
x = 907,318.33
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.