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Finding the Third Proportional to 252,974.25 and 378,093.38

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Solution

The third proportional to 252,974.25 and 378,093.38 is: 565,095.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,974.25 : 378,093.38 = 378,093.38 : x
  2. Step 2: Convert to fraction form
    252,974.25/378,093.38 = 378,093.38/x
  3. Step 3: Cross multiply
    252,974.25x = 378,093.38 × 378,093.38
  4. Step 4: Simplify right side
    252,974.25x = 142,954,600,218.89
  5. Step 5: Solve for x
    x = 142,954,600,218.89/252,974.25
  6. Step 6: Final answer
    x = 565,095.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.