Finding the Third Proportional to 144,378 and 224,421
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Solution
The third proportional to 144,378 and 224,421 is: 348,839.75
Step by Step Solution
- Step 1: Write the proportion equation
144,378 : 224,421 = 224,421 : x - Step 2: Convert to fraction form
144,378/224,421 = 224,421/x - Step 3: Cross multiply
144,378x = 224,421 × 224,421 - Step 4: Simplify right side
144,378x = 50,364,785,241 - Step 5: Solve for x
x = 50,364,785,241/144,378 - Step 6: Final answer
x = 348,839.75
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.