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Finding the Third Proportional to 173,576 and 259,653

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Solution

The third proportional to 173,576 and 259,653 is: 388,415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,576 : 259,653 = 259,653 : x
  2. Step 2: Convert to fraction form
    173,576/259,653 = 259,653/x
  3. Step 3: Cross multiply
    173,576x = 259,653 × 259,653
  4. Step 4: Simplify right side
    173,576x = 67,419,680,409
  5. Step 5: Solve for x
    x = 67,419,680,409/173,576
  6. Step 6: Final answer
    x = 388,415.91

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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.