Finding the Third Proportional to 133,076 and 296,184
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Solution
The third proportional to 133,076 and 296,184 is: 659,209.49
Step by Step Solution
- Step 1: Write the proportion equation
133,076 : 296,184 = 296,184 : x - Step 2: Convert to fraction form
133,076/296,184 = 296,184/x - Step 3: Cross multiply
133,076x = 296,184 × 296,184 - Step 4: Simplify right side
133,076x = 87,724,961,856 - Step 5: Solve for x
x = 87,724,961,856/133,076 - Step 6: Final answer
x = 659,209.49
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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.