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Finding the Third Proportional to 168,444 and 361,532.25

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Solution

The third proportional to 168,444 and 361,532.25 is: 775,958.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,444 : 361,532.25 = 361,532.25 : x
  2. Step 2: Convert to fraction form
    168,444/361,532.25 = 361,532.25/x
  3. Step 3: Cross multiply
    168,444x = 361,532.25 × 361,532.25
  4. Step 4: Simplify right side
    168,444x = 130,705,567,790.06
  5. Step 5: Solve for x
    x = 130,705,567,790.06/168,444
  6. Step 6: Final answer
    x = 775,958.58

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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.