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Finding the Third Proportional to 170,102.25 and 373,997.25

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Solution

The third proportional to 170,102.25 and 373,997.25 is: 822,293.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,102.25 : 373,997.25 = 373,997.25 : x
  2. Step 2: Convert to fraction form
    170,102.25/373,997.25 = 373,997.25/x
  3. Step 3: Cross multiply
    170,102.25x = 373,997.25 × 373,997.25
  4. Step 4: Simplify right side
    170,102.25x = 139,873,943,007.56
  5. Step 5: Solve for x
    x = 139,873,943,007.56/170,102.25
  6. Step 6: Final answer
    x = 822,293.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.