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Finding the Third Proportional to 146,933.25 and 203,028.38

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Solution

The third proportional to 146,933.25 and 203,028.38 is: 280,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,933.25 : 203,028.38 = 203,028.38 : x
  2. Step 2: Convert to fraction form
    146,933.25/203,028.38 = 203,028.38/x
  3. Step 3: Cross multiply
    146,933.25x = 203,028.38 × 203,028.38
  4. Step 4: Simplify right side
    146,933.25x = 41,220,521,055.14
  5. Step 5: Solve for x
    x = 41,220,521,055.14/146,933.25
  6. Step 6: Final answer
    x = 280,539.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.