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Finding the Third Proportional to 111,366 and 239,965

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Solution

The third proportional to 111,366 and 239,965 is: 517,062.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,366 : 239,965 = 239,965 : x
  2. Step 2: Convert to fraction form
    111,366/239,965 = 239,965/x
  3. Step 3: Cross multiply
    111,366x = 239,965 × 239,965
  4. Step 4: Simplify right side
    111,366x = 57,583,201,225
  5. Step 5: Solve for x
    x = 57,583,201,225/111,366
  6. Step 6: Final answer
    x = 517,062.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.