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Finding the Third Proportional to 173,675 and 259,864

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Solution

The third proportional to 173,675 and 259,864 is: 388,825.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,675 : 259,864 = 259,864 : x
  2. Step 2: Convert to fraction form
    173,675/259,864 = 259,864/x
  3. Step 3: Cross multiply
    173,675x = 259,864 × 259,864
  4. Step 4: Simplify right side
    173,675x = 67,529,298,496
  5. Step 5: Solve for x
    x = 67,529,298,496/173,675
  6. Step 6: Final answer
    x = 388,825.67

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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.