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Finding the Third Proportional to 204,968 and 261,900

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Solution

The third proportional to 204,968 and 261,900 is: 334,645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,968 : 261,900 = 261,900 : x
  2. Step 2: Convert to fraction form
    204,968/261,900 = 261,900/x
  3. Step 3: Cross multiply
    204,968x = 261,900 × 261,900
  4. Step 4: Simplify right side
    204,968x = 68,591,610,000
  5. Step 5: Solve for x
    x = 68,591,610,000/204,968
  6. Step 6: Final answer
    x = 334,645.46

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.