Finding the Third Proportional to 107,184 and 230,484
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Solution
The third proportional to 107,184 and 230,484 is: 495,623.17
Step by Step Solution
- Step 1: Write the proportion equation
107,184 : 230,484 = 230,484 : x - Step 2: Convert to fraction form
107,184/230,484 = 230,484/x - Step 3: Cross multiply
107,184x = 230,484 × 230,484 - Step 4: Simplify right side
107,184x = 53,122,874,256 - Step 5: Solve for x
x = 53,122,874,256/107,184 - Step 6: Final answer
x = 495,623.17
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.