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Finding the Third Proportional to 178,530 and 244,803

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Solution

The third proportional to 178,530 and 244,803 is: 335,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,530 : 244,803 = 244,803 : x
  2. Step 2: Convert to fraction form
    178,530/244,803 = 244,803/x
  3. Step 3: Cross multiply
    178,530x = 244,803 × 244,803
  4. Step 4: Simplify right side
    178,530x = 59,928,508,809
  5. Step 5: Solve for x
    x = 59,928,508,809/178,530
  6. Step 6: Final answer
    x = 335,677.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.