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Finding the Third Proportional to 111,000 and 242,736

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Solution

The third proportional to 111,000 and 242,736 is: 530,817.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,000 : 242,736 = 242,736 : x
  2. Step 2: Convert to fraction form
    111,000/242,736 = 242,736/x
  3. Step 3: Cross multiply
    111,000x = 242,736 × 242,736
  4. Step 4: Simplify right side
    111,000x = 58,920,765,696
  5. Step 5: Solve for x
    x = 58,920,765,696/111,000
  6. Step 6: Final answer
    x = 530,817.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.