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Finding the Third Proportional to 111,192 and 239,664

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Solution

The third proportional to 111,192 and 239,664 is: 516,573.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,192 : 239,664 = 239,664 : x
  2. Step 2: Convert to fraction form
    111,192/239,664 = 239,664/x
  3. Step 3: Cross multiply
    111,192x = 239,664 × 239,664
  4. Step 4: Simplify right side
    111,192x = 57,438,832,896
  5. Step 5: Solve for x
    x = 57,438,832,896/111,192
  6. Step 6: Final answer
    x = 516,573.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.