Finding the Third Proportional to 107,838 and 234,567
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Solution
The third proportional to 107,838 and 234,567 is: 510,225.31
Step by Step Solution
- Step 1: Write the proportion equation
107,838 : 234,567 = 234,567 : x - Step 2: Convert to fraction form
107,838/234,567 = 234,567/x - Step 3: Cross multiply
107,838x = 234,567 × 234,567 - Step 4: Simplify right side
107,838x = 55,021,677,489 - Step 5: Solve for x
x = 55,021,677,489/107,838 - Step 6: Final answer
x = 510,225.31
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.