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Finding the Third Proportional to 167,923 and 361,834.50

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Solution

The third proportional to 167,923 and 361,834.50 is: 779,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,923 : 361,834.50 = 361,834.50 : x
  2. Step 2: Convert to fraction form
    167,923/361,834.50 = 361,834.50/x
  3. Step 3: Cross multiply
    167,923x = 361,834.50 × 361,834.50
  4. Step 4: Simplify right side
    167,923x = 130,924,205,390.25
  5. Step 5: Solve for x
    x = 130,924,205,390.25/167,923
  6. Step 6: Final answer
    x = 779,668.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.