Finding the Third Proportional to 381,171 and 561,195
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Solution
The third proportional to 381,171 and 561,195 is: 826,242.89
Step by Step Solution
- Step 1: Write the proportion equation
381,171 : 561,195 = 561,195 : x - Step 2: Convert to fraction form
381,171/561,195 = 561,195/x - Step 3: Cross multiply
381,171x = 561,195 × 561,195 - Step 4: Simplify right side
381,171x = 314,939,828,025 - Step 5: Solve for x
x = 314,939,828,025/381,171 - Step 6: Final answer
x = 826,242.89
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.