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Finding the Third Proportional to 179,894 and 259,893

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Solution

The third proportional to 179,894 and 259,893 is: 375,467.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,894 : 259,893 = 259,893 : x
  2. Step 2: Convert to fraction form
    179,894/259,893 = 259,893/x
  3. Step 3: Cross multiply
    179,894x = 259,893 × 259,893
  4. Step 4: Simplify right side
    179,894x = 67,544,371,449
  5. Step 5: Solve for x
    x = 67,544,371,449/179,894
  6. Step 6: Final answer
    x = 375,467.62

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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.