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Finding the Third Proportional to 168,556 and 389,228

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Solution

The third proportional to 168,556 and 389,228 is: 898,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,556 : 389,228 = 389,228 : x
  2. Step 2: Convert to fraction form
    168,556/389,228 = 389,228/x
  3. Step 3: Cross multiply
    168,556x = 389,228 × 389,228
  4. Step 4: Simplify right side
    168,556x = 151,498,435,984
  5. Step 5: Solve for x
    x = 151,498,435,984/168,556
  6. Step 6: Final answer
    x = 898,801.80

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.