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Finding the Third Proportional to 111,728 and 234,946

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Solution

The third proportional to 111,728 and 234,946 is: 494,053.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,728 : 234,946 = 234,946 : x
  2. Step 2: Convert to fraction form
    111,728/234,946 = 234,946/x
  3. Step 3: Cross multiply
    111,728x = 234,946 × 234,946
  4. Step 4: Simplify right side
    111,728x = 55,199,622,916
  5. Step 5: Solve for x
    x = 55,199,622,916/111,728
  6. Step 6: Final answer
    x = 494,053.62

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.