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Finding the Third Proportional to 179,615 and 391,214

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Solution

The third proportional to 179,615 and 391,214 is: 852,091.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,615 : 391,214 = 391,214 : x
  2. Step 2: Convert to fraction form
    179,615/391,214 = 391,214/x
  3. Step 3: Cross multiply
    179,615x = 391,214 × 391,214
  4. Step 4: Simplify right side
    179,615x = 153,048,393,796
  5. Step 5: Solve for x
    x = 153,048,393,796/179,615
  6. Step 6: Final answer
    x = 852,091.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.