Finding the Third Proportional to 189,712 and 439,206
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Solution
The third proportional to 189,712 and 439,206 is: 1,016,814.49
Step by Step Solution
- Step 1: Write the proportion equation
189,712 : 439,206 = 439,206 : x - Step 2: Convert to fraction form
189,712/439,206 = 439,206/x - Step 3: Cross multiply
189,712x = 439,206 × 439,206 - Step 4: Simplify right side
189,712x = 192,901,910,436 - Step 5: Solve for x
x = 192,901,910,436/189,712 - Step 6: Final answer
x = 1,016,814.49
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.