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Finding the Third Proportional to 110,267 and 239,205

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Solution

The third proportional to 110,267 and 239,205 is: 518,913.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,267 : 239,205 = 239,205 : x
  2. Step 2: Convert to fraction form
    110,267/239,205 = 239,205/x
  3. Step 3: Cross multiply
    110,267x = 239,205 × 239,205
  4. Step 4: Simplify right side
    110,267x = 57,219,032,025
  5. Step 5: Solve for x
    x = 57,219,032,025/110,267
  6. Step 6: Final answer
    x = 518,913.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.