Finding the Third Proportional to 106,190 and 232,072
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Solution
The third proportional to 106,190 and 232,072 is: 507,179.71
Step by Step Solution
- Step 1: Write the proportion equation
106,190 : 232,072 = 232,072 : x - Step 2: Convert to fraction form
106,190/232,072 = 232,072/x - Step 3: Cross multiply
106,190x = 232,072 × 232,072 - Step 4: Simplify right side
106,190x = 53,857,413,184 - Step 5: Solve for x
x = 53,857,413,184/106,190 - Step 6: Final answer
x = 507,179.71
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.