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Finding the Third Proportional to 147,440.25 and 223,896.38

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Solution

The third proportional to 147,440.25 and 223,896.38 is: 339,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,440.25 : 223,896.38 = 223,896.38 : x
  2. Step 2: Convert to fraction form
    147,440.25/223,896.38 = 223,896.38/x
  3. Step 3: Cross multiply
    147,440.25x = 223,896.38 × 223,896.38
  4. Step 4: Simplify right side
    147,440.25x = 50,129,586,738.14
  5. Step 5: Solve for x
    x = 50,129,586,738.14/147,440.25
  6. Step 6: Final answer
    x = 339,999.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.