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Finding the Third Proportional to 173,142.56 and 262,014.75

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Solution

The third proportional to 173,142.56 and 262,014.75 is: 396,504.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,142.56 : 262,014.75 = 262,014.75 : x
  2. Step 2: Convert to fraction form
    173,142.56/262,014.75 = 262,014.75/x
  3. Step 3: Cross multiply
    173,142.56x = 262,014.75 × 262,014.75
  4. Step 4: Simplify right side
    173,142.56x = 68,651,729,217.56
  5. Step 5: Solve for x
    x = 68,651,729,217.56/173,142.56
  6. Step 6: Final answer
    x = 396,504.06

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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.