Finding the Third Proportional to 184,426 and 284,830
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Solution
The third proportional to 184,426 and 284,830 is: 439,895.29
Step by Step Solution
- Step 1: Write the proportion equation
184,426 : 284,830 = 284,830 : x - Step 2: Convert to fraction form
184,426/284,830 = 284,830/x - Step 3: Cross multiply
184,426x = 284,830 × 284,830 - Step 4: Simplify right side
184,426x = 81,128,128,900 - Step 5: Solve for x
x = 81,128,128,900/184,426 - Step 6: Final answer
x = 439,895.29
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.