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Finding the Third Proportional to 173,592 and 262,250

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Solution

The third proportional to 173,592 and 262,250 is: 396,187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,592 : 262,250 = 262,250 : x
  2. Step 2: Convert to fraction form
    173,592/262,250 = 262,250/x
  3. Step 3: Cross multiply
    173,592x = 262,250 × 262,250
  4. Step 4: Simplify right side
    173,592x = 68,775,062,500
  5. Step 5: Solve for x
    x = 68,775,062,500/173,592
  6. Step 6: Final answer
    x = 396,187.97

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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.