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Finding the Third Proportional to 170,996.25 and 263,217

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Solution

The third proportional to 170,996.25 and 263,217 is: 405,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,996.25 : 263,217 = 263,217 : x
  2. Step 2: Convert to fraction form
    170,996.25/263,217 = 263,217/x
  3. Step 3: Cross multiply
    170,996.25x = 263,217 × 263,217
  4. Step 4: Simplify right side
    170,996.25x = 69,283,189,089
  5. Step 5: Solve for x
    x = 69,283,189,089/170,996.25
  6. Step 6: Final answer
    x = 405,173.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.