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Finding the Third Proportional to 173,568.75 and 262,530

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Solution

The third proportional to 173,568.75 and 262,530 is: 397,087.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,568.75 : 262,530 = 262,530 : x
  2. Step 2: Convert to fraction form
    173,568.75/262,530 = 262,530/x
  3. Step 3: Cross multiply
    173,568.75x = 262,530 × 262,530
  4. Step 4: Simplify right side
    173,568.75x = 68,922,000,900
  5. Step 5: Solve for x
    x = 68,922,000,900/173,568.75
  6. Step 6: Final answer
    x = 397,087.61

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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.