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Finding the Third Proportional to 173,246.50 and 259,162

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Solution

The third proportional to 173,246.50 and 259,162 is: 387,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,246.50 : 259,162 = 259,162 : x
  2. Step 2: Convert to fraction form
    173,246.50/259,162 = 259,162/x
  3. Step 3: Cross multiply
    173,246.50x = 259,162 × 259,162
  4. Step 4: Simplify right side
    173,246.50x = 67,164,942,244
  5. Step 5: Solve for x
    x = 67,164,942,244/173,246.50
  6. Step 6: Final answer
    x = 387,684.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.