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Finding the Third Proportional to 111,722 and 234,934

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Solution

The third proportional to 111,722 and 234,934 is: 494,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,722 : 234,934 = 234,934 : x
  2. Step 2: Convert to fraction form
    111,722/234,934 = 234,934/x
  3. Step 3: Cross multiply
    111,722x = 234,934 × 234,934
  4. Step 4: Simplify right side
    111,722x = 55,193,984,356
  5. Step 5: Solve for x
    x = 55,193,984,356/111,722
  6. Step 6: Final answer
    x = 494,029.68

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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.