Finding the Third Proportional to 142,678 and 213,627
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Solution
The third proportional to 142,678 and 213,627 is: 319,856.57
Step by Step Solution
- Step 1: Write the proportion equation
142,678 : 213,627 = 213,627 : x - Step 2: Convert to fraction form
142,678/213,627 = 213,627/x - Step 3: Cross multiply
142,678x = 213,627 × 213,627 - Step 4: Simplify right side
142,678x = 45,636,495,129 - Step 5: Solve for x
x = 45,636,495,129/142,678 - Step 6: Final answer
x = 319,856.57
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.