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Finding the Third Proportional to 179,959 and 416,615

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Solution

The third proportional to 179,959 and 416,615 is: 964,486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,959 : 416,615 = 416,615 : x
  2. Step 2: Convert to fraction form
    179,959/416,615 = 416,615/x
  3. Step 3: Cross multiply
    179,959x = 416,615 × 416,615
  4. Step 4: Simplify right side
    179,959x = 173,568,058,225
  5. Step 5: Solve for x
    x = 173,568,058,225/179,959
  6. Step 6: Final answer
    x = 964,486.68

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.