Finding the Third Proportional to 137,984 and 301,798
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Solution
The third proportional to 137,984 and 301,798 is: 660,091.26
Step by Step Solution
- Step 1: Write the proportion equation
137,984 : 301,798 = 301,798 : x - Step 2: Convert to fraction form
137,984/301,798 = 301,798/x - Step 3: Cross multiply
137,984x = 301,798 × 301,798 - Step 4: Simplify right side
137,984x = 91,082,032,804 - Step 5: Solve for x
x = 91,082,032,804/137,984 - Step 6: Final answer
x = 660,091.26
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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.