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Finding the Third Proportional to 179,878.50 and 259,872.75

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Solution

The third proportional to 179,878.50 and 259,872.75 is: 375,441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,878.50 : 259,872.75 = 259,872.75 : x
  2. Step 2: Convert to fraction form
    179,878.50/259,872.75 = 259,872.75/x
  3. Step 3: Cross multiply
    179,878.50x = 259,872.75 × 259,872.75
  4. Step 4: Simplify right side
    179,878.50x = 67,533,846,192.56
  5. Step 5: Solve for x
    x = 67,533,846,192.56/179,878.50
  6. Step 6: Final answer
    x = 375,441.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.