Finding the Third Proportional to 176,023.13 and 378,578.81
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Solution
The third proportional to 176,023.13 and 378,578.81 is: 814,222.09
Step by Step Solution
- Step 1: Write the proportion equation
176,023.13 : 378,578.81 = 378,578.81 : x - Step 2: Convert to fraction form
176,023.13/378,578.81 = 378,578.81/x - Step 3: Cross multiply
176,023.13x = 378,578.81 × 378,578.81 - Step 4: Simplify right side
176,023.13x = 143,321,917,273.91 - Step 5: Solve for x
x = 143,321,917,273.91/176,023.13 - Step 6: Final answer
x = 814,222.09
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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.