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Finding the Third Proportional to 168,120 and 365,793.75

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Solution

The third proportional to 168,120 and 365,793.75 is: 795,890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,120 : 365,793.75 = 365,793.75 : x
  2. Step 2: Convert to fraction form
    168,120/365,793.75 = 365,793.75/x
  3. Step 3: Cross multiply
    168,120x = 365,793.75 × 365,793.75
  4. Step 4: Simplify right side
    168,120x = 133,805,067,539.06
  5. Step 5: Solve for x
    x = 133,805,067,539.06/168,120
  6. Step 6: Final answer
    x = 795,890.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.