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Finding the Third Proportional to 164,007.56 and 244,745.44

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Solution

The third proportional to 164,007.56 and 244,745.44 is: 365,229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,007.56 : 244,745.44 = 244,745.44 : x
  2. Step 2: Convert to fraction form
    164,007.56/244,745.44 = 244,745.44/x
  3. Step 3: Cross multiply
    164,007.56x = 244,745.44 × 244,745.44
  4. Step 4: Simplify right side
    164,007.56x = 59,900,329,177.07
  5. Step 5: Solve for x
    x = 59,900,329,177.07/164,007.56
  6. Step 6: Final answer
    x = 365,229.07

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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.