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Finding the Third Proportional to 80,245.69 and 170,287.31

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Solution

The third proportional to 80,245.69 and 170,287.31 is: 361,362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,245.69 : 170,287.31 = 170,287.31 : x
  2. Step 2: Convert to fraction form
    80,245.69/170,287.31 = 170,287.31/x
  3. Step 3: Cross multiply
    80,245.69x = 170,287.31 × 170,287.31
  4. Step 4: Simplify right side
    80,245.69x = 28,997,768,798.47
  5. Step 5: Solve for x
    x = 28,997,768,798.47/80,245.69
  6. Step 6: Final answer
    x = 361,362.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.