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Finding the Third Proportional to 110,337 and 236,226

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Solution

The third proportional to 110,337 and 236,226 is: 505,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,337 : 236,226 = 236,226 : x
  2. Step 2: Convert to fraction form
    110,337/236,226 = 236,226/x
  3. Step 3: Cross multiply
    110,337x = 236,226 × 236,226
  4. Step 4: Simplify right side
    110,337x = 55,802,723,076
  5. Step 5: Solve for x
    x = 55,802,723,076/110,337
  6. Step 6: Final answer
    x = 505,748.05

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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.