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Finding the Third Proportional to 179,172 and 259,000

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Solution

The third proportional to 179,172 and 259,000 is: 374,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,172 : 259,000 = 259,000 : x
  2. Step 2: Convert to fraction form
    179,172/259,000 = 259,000/x
  3. Step 3: Cross multiply
    179,172x = 259,000 × 259,000
  4. Step 4: Simplify right side
    179,172x = 67,081,000,000
  5. Step 5: Solve for x
    x = 67,081,000,000/179,172
  6. Step 6: Final answer
    x = 374,394.44

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.