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Finding the Third Proportional to 173,595 and 262,257

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Solution

The third proportional to 173,595 and 262,257 is: 396,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,595 : 262,257 = 262,257 : x
  2. Step 2: Convert to fraction form
    173,595/262,257 = 262,257/x
  3. Step 3: Cross multiply
    173,595x = 262,257 × 262,257
  4. Step 4: Simplify right side
    173,595x = 68,778,734,049
  5. Step 5: Solve for x
    x = 68,778,734,049/173,595
  6. Step 6: Final answer
    x = 396,202.28

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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.