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Finding the Third Proportional to 111,690 and 238,962

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Solution

The third proportional to 111,690 and 238,962 is: 511,261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,690 : 238,962 = 238,962 : x
  2. Step 2: Convert to fraction form
    111,690/238,962 = 238,962/x
  3. Step 3: Cross multiply
    111,690x = 238,962 × 238,962
  4. Step 4: Simplify right side
    111,690x = 57,102,837,444
  5. Step 5: Solve for x
    x = 57,102,837,444/111,690
  6. Step 6: Final answer
    x = 511,261.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.