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Finding the Third Proportional to 179,678 and 395,814

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Solution

The third proportional to 179,678 and 395,814 is: 871,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,678 : 395,814 = 395,814 : x
  2. Step 2: Convert to fraction form
    179,678/395,814 = 395,814/x
  3. Step 3: Cross multiply
    179,678x = 395,814 × 395,814
  4. Step 4: Simplify right side
    179,678x = 156,668,722,596
  5. Step 5: Solve for x
    x = 156,668,722,596/179,678
  6. Step 6: Final answer
    x = 871,941.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.