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Finding the Third Proportional to 110,576 and 236,930

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Solution

The third proportional to 110,576 and 236,930 is: 507,667.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,576 : 236,930 = 236,930 : x
  2. Step 2: Convert to fraction form
    110,576/236,930 = 236,930/x
  3. Step 3: Cross multiply
    110,576x = 236,930 × 236,930
  4. Step 4: Simplify right side
    110,576x = 56,135,824,900
  5. Step 5: Solve for x
    x = 56,135,824,900/110,576
  6. Step 6: Final answer
    x = 507,667.35

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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.