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Finding the Third Proportional to 110,205 and 239,094

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Solution

The third proportional to 110,205 and 239,094 is: 518,723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,205 : 239,094 = 239,094 : x
  2. Step 2: Convert to fraction form
    110,205/239,094 = 239,094/x
  3. Step 3: Cross multiply
    110,205x = 239,094 × 239,094
  4. Step 4: Simplify right side
    110,205x = 57,165,940,836
  5. Step 5: Solve for x
    x = 57,165,940,836/110,205
  6. Step 6: Final answer
    x = 518,723.66

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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.