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Finding the Third Proportional to 172,365.75 and 262,197

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Solution

The third proportional to 172,365.75 and 262,197 is: 398,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,365.75 : 262,197 = 262,197 : x
  2. Step 2: Convert to fraction form
    172,365.75/262,197 = 262,197/x
  3. Step 3: Cross multiply
    172,365.75x = 262,197 × 262,197
  4. Step 4: Simplify right side
    172,365.75x = 68,747,266,809
  5. Step 5: Solve for x
    x = 68,747,266,809/172,365.75
  6. Step 6: Final answer
    x = 398,845.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.