Finding the Third Proportional to 218,106 and 467,748
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Solution
The third proportional to 218,106 and 467,748 is: 1,003,127.80
Step by Step Solution
- Step 1: Write the proportion equation
218,106 : 467,748 = 467,748 : x - Step 2: Convert to fraction form
218,106/467,748 = 467,748/x - Step 3: Cross multiply
218,106x = 467,748 × 467,748 - Step 4: Simplify right side
218,106x = 218,788,191,504 - Step 5: Solve for x
x = 218,788,191,504/218,106 - Step 6: Final answer
x = 1,003,127.80
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.