Finding the Third Proportional to 238,132 and 323,409
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Solution
The third proportional to 238,132 and 323,409 is: 439,224.39
Step by Step Solution
- Step 1: Write the proportion equation
238,132 : 323,409 = 323,409 : x - Step 2: Convert to fraction form
238,132/323,409 = 323,409/x - Step 3: Cross multiply
238,132x = 323,409 × 323,409 - Step 4: Simplify right side
238,132x = 104,593,381,281 - Step 5: Solve for x
x = 104,593,381,281/238,132 - Step 6: Final answer
x = 439,224.39
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.