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Finding the Third Proportional to 111,986 and 242,932

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Solution

The third proportional to 111,986 and 242,932 is: 526,994.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,986 : 242,932 = 242,932 : x
  2. Step 2: Convert to fraction form
    111,986/242,932 = 242,932/x
  3. Step 3: Cross multiply
    111,986x = 242,932 × 242,932
  4. Step 4: Simplify right side
    111,986x = 59,015,956,624
  5. Step 5: Solve for x
    x = 59,015,956,624/111,986
  6. Step 6: Final answer
    x = 526,994.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.