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Finding the Third Proportional to 109,848 and 239,838

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Solution

The third proportional to 109,848 and 239,838 is: 523,653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,848 : 239,838 = 239,838 : x
  2. Step 2: Convert to fraction form
    109,848/239,838 = 239,838/x
  3. Step 3: Cross multiply
    109,848x = 239,838 × 239,838
  4. Step 4: Simplify right side
    109,848x = 57,522,266,244
  5. Step 5: Solve for x
    x = 57,522,266,244/109,848
  6. Step 6: Final answer
    x = 523,653.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.