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Finding the Third Proportional to 131,543 and 284,104

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Solution

The third proportional to 131,543 and 284,104 is: 613,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,543 : 284,104 = 284,104 : x
  2. Step 2: Convert to fraction form
    131,543/284,104 = 284,104/x
  3. Step 3: Cross multiply
    131,543x = 284,104 × 284,104
  4. Step 4: Simplify right side
    131,543x = 80,715,082,816
  5. Step 5: Solve for x
    x = 80,715,082,816/131,543
  6. Step 6: Final answer
    x = 613,602.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.