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Finding the Third Proportional to 163,809 and 246,867

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Solution

The third proportional to 163,809 and 246,867 is: 372,038.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,809 : 246,867 = 246,867 : x
  2. Step 2: Convert to fraction form
    163,809/246,867 = 246,867/x
  3. Step 3: Cross multiply
    163,809x = 246,867 × 246,867
  4. Step 4: Simplify right side
    163,809x = 60,943,315,689
  5. Step 5: Solve for x
    x = 60,943,315,689/163,809
  6. Step 6: Final answer
    x = 372,038.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.