Finding the Third Proportional to 81,790 and 176,470
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Solution
The third proportional to 81,790 and 176,470 is: 380,751.45
Step by Step Solution
- Step 1: Write the proportion equation
81,790 : 176,470 = 176,470 : x - Step 2: Convert to fraction form
81,790/176,470 = 176,470/x - Step 3: Cross multiply
81,790x = 176,470 × 176,470 - Step 4: Simplify right side
81,790x = 31,141,660,900 - Step 5: Solve for x
x = 31,141,660,900/81,790 - Step 6: Final answer
x = 380,751.45
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.