Finding the Third Proportional to 349.50 and 463.50
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Solution
The third proportional to 349.50 and 463.50 is: 614.68
Step by Step Solution
- Step 1: Write the proportion equation
349.50 : 463.50 = 463.50 : x - Step 2: Convert to fraction form
349.50/463.50 = 463.50/x - Step 3: Cross multiply
349.50x = 463.50 × 463.50 - Step 4: Simplify right side
349.50x = 214,832.25 - Step 5: Solve for x
x = 214,832.25/349.50 - Step 6: Final answer
x = 614.68
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.