Finding the Third Proportional to 98,498 and 202,804
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Solution
The third proportional to 98,498 and 202,804 is: 417,566.47
Step by Step Solution
- Step 1: Write the proportion equation
98,498 : 202,804 = 202,804 : x - Step 2: Convert to fraction form
98,498/202,804 = 202,804/x - Step 3: Cross multiply
98,498x = 202,804 × 202,804 - Step 4: Simplify right side
98,498x = 41,129,462,416 - Step 5: Solve for x
x = 41,129,462,416/98,498 - Step 6: Final answer
x = 417,566.47
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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.