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Finding the Third Proportional to 163,811 and 246,871

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Solution

The third proportional to 163,811 and 246,871 is: 372,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,811 : 246,871 = 246,871 : x
  2. Step 2: Convert to fraction form
    163,811/246,871 = 246,871/x
  3. Step 3: Cross multiply
    163,811x = 246,871 × 246,871
  4. Step 4: Simplify right side
    163,811x = 60,945,290,641
  5. Step 5: Solve for x
    x = 60,945,290,641/163,811
  6. Step 6: Final answer
    x = 372,046.39

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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.