Finding the Third Proportional to 142,994 and 282,396
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Solution
The third proportional to 142,994 and 282,396 is: 557,698.23
Step by Step Solution
- Step 1: Write the proportion equation
142,994 : 282,396 = 282,396 : x - Step 2: Convert to fraction form
142,994/282,396 = 282,396/x - Step 3: Cross multiply
142,994x = 282,396 × 282,396 - Step 4: Simplify right side
142,994x = 79,747,500,816 - Step 5: Solve for x
x = 79,747,500,816/142,994 - Step 6: Final answer
x = 557,698.23
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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.