Finding the Third Proportional to 207.98 and 494.58
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Solution
The third proportional to 207.98 and 494.58 is: 1,176.09
Step by Step Solution
- Step 1: Write the proportion equation
207.98 : 494.58 = 494.58 : x - Step 2: Convert to fraction form
207.98/494.58 = 494.58/x - Step 3: Cross multiply
207.98x = 494.58 × 494.58 - Step 4: Simplify right side
207.98x = 244,607.52 - Step 5: Solve for x
x = 244,607.52/207.98 - Step 6: Final answer
x = 1,176.09
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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.