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Finding the Third Proportional to 160,970 and 244,923

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Solution

The third proportional to 160,970 and 244,923 is: 372,661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,970 : 244,923 = 244,923 : x
  2. Step 2: Convert to fraction form
    160,970/244,923 = 244,923/x
  3. Step 3: Cross multiply
    160,970x = 244,923 × 244,923
  4. Step 4: Simplify right side
    160,970x = 59,987,275,929
  5. Step 5: Solve for x
    x = 59,987,275,929/160,970
  6. Step 6: Final answer
    x = 372,661.22

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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.