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Finding the Third Proportional to 111,342 and 238,244

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Solution

The third proportional to 111,342 and 238,244 is: 509,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,342 : 238,244 = 238,244 : x
  2. Step 2: Convert to fraction form
    111,342/238,244 = 238,244/x
  3. Step 3: Cross multiply
    111,342x = 238,244 × 238,244
  4. Step 4: Simplify right side
    111,342x = 56,760,203,536
  5. Step 5: Solve for x
    x = 56,760,203,536/111,342
  6. Step 6: Final answer
    x = 509,782.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.