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Finding the Third Proportional to 173,097 and 261,963

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Solution

The third proportional to 173,097 and 261,963 is: 396,451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,097 : 261,963 = 261,963 : x
  2. Step 2: Convert to fraction form
    173,097/261,963 = 261,963/x
  3. Step 3: Cross multiply
    173,097x = 261,963 × 261,963
  4. Step 4: Simplify right side
    173,097x = 68,624,613,369
  5. Step 5: Solve for x
    x = 68,624,613,369/173,097
  6. Step 6: Final answer
    x = 396,451.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.