Finding the Third Proportional to 205,496 and 301,132
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Solution
The third proportional to 205,496 and 301,132 is: 441,276.14
Step by Step Solution
- Step 1: Write the proportion equation
205,496 : 301,132 = 301,132 : x - Step 2: Convert to fraction form
205,496/301,132 = 301,132/x - Step 3: Cross multiply
205,496x = 301,132 × 301,132 - Step 4: Simplify right side
205,496x = 90,680,481,424 - Step 5: Solve for x
x = 90,680,481,424/205,496 - Step 6: Final answer
x = 441,276.14
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.