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Finding the Third Proportional to 160,872 and 244,767

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Solution

The third proportional to 160,872 and 244,767 is: 372,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,872 : 244,767 = 244,767 : x
  2. Step 2: Convert to fraction form
    160,872/244,767 = 244,767/x
  3. Step 3: Cross multiply
    160,872x = 244,767 × 244,767
  4. Step 4: Simplify right side
    160,872x = 59,910,884,289
  5. Step 5: Solve for x
    x = 59,910,884,289/160,872
  6. Step 6: Final answer
    x = 372,413.37

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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.