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Finding the Third Proportional to 163,734 and 244,593

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Solution

The third proportional to 163,734 and 244,593 is: 365,383.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,734 : 244,593 = 244,593 : x
  2. Step 2: Convert to fraction form
    163,734/244,593 = 244,593/x
  3. Step 3: Cross multiply
    163,734x = 244,593 × 244,593
  4. Step 4: Simplify right side
    163,734x = 59,825,735,649
  5. Step 5: Solve for x
    x = 59,825,735,649/163,734
  6. Step 6: Final answer
    x = 365,383.71

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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.