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Finding the Third Proportional to 179,880 and 259,875

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Solution

The third proportional to 179,880 and 259,875 is: 375,444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,880 : 259,875 = 259,875 : x
  2. Step 2: Convert to fraction form
    179,880/259,875 = 259,875/x
  3. Step 3: Cross multiply
    179,880x = 259,875 × 259,875
  4. Step 4: Simplify right side
    179,880x = 67,535,015,625
  5. Step 5: Solve for x
    x = 67,535,015,625/179,880
  6. Step 6: Final answer
    x = 375,444.83

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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.