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Finding the Third Proportional to 173,237 and 259,149

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Solution

The third proportional to 173,237 and 259,149 is: 387,666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,237 : 259,149 = 259,149 : x
  2. Step 2: Convert to fraction form
    173,237/259,149 = 259,149/x
  3. Step 3: Cross multiply
    173,237x = 259,149 × 259,149
  4. Step 4: Simplify right side
    173,237x = 67,158,204,201
  5. Step 5: Solve for x
    x = 67,158,204,201/173,237
  6. Step 6: Final answer
    x = 387,666.63

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