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Finding the Third Proportional to 179,895 and 259,894

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Solution

The third proportional to 179,895 and 259,894 is: 375,468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,895 : 259,894 = 259,894 : x
  2. Step 2: Convert to fraction form
    179,895/259,894 = 259,894/x
  3. Step 3: Cross multiply
    179,895x = 259,894 × 259,894
  4. Step 4: Simplify right side
    179,895x = 67,544,891,236
  5. Step 5: Solve for x
    x = 67,544,891,236/179,895
  6. Step 6: Final answer
    x = 375,468.42

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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.