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Finding the Third Proportional to 110,504 and 238,615

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Solution

The third proportional to 110,504 and 238,615 is: 515,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,504 : 238,615 = 238,615 : x
  2. Step 2: Convert to fraction form
    110,504/238,615 = 238,615/x
  3. Step 3: Cross multiply
    110,504x = 238,615 × 238,615
  4. Step 4: Simplify right side
    110,504x = 56,937,118,225
  5. Step 5: Solve for x
    x = 56,937,118,225/110,504
  6. Step 6: Final answer
    x = 515,249.39

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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.