Finding the Third Proportional to 270.25 and 598.50
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Solution
The third proportional to 270.25 and 598.50 is: 1,325.45
Step by Step Solution
- Step 1: Write the proportion equation
270.25 : 598.50 = 598.50 : x - Step 2: Convert to fraction form
270.25/598.50 = 598.50/x - Step 3: Cross multiply
270.25x = 598.50 × 598.50 - Step 4: Simplify right side
270.25x = 358,202.25 - Step 5: Solve for x
x = 358,202.25/270.25 - Step 6: Final answer
x = 1,325.45
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.