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Finding the Third Proportional to 179,877 and 259,871

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Solution

The third proportional to 179,877 and 259,871 is: 375,439.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,877 : 259,871 = 259,871 : x
  2. Step 2: Convert to fraction form
    179,877/259,871 = 259,871/x
  3. Step 3: Cross multiply
    179,877x = 259,871 × 259,871
  4. Step 4: Simplify right side
    179,877x = 67,532,936,641
  5. Step 5: Solve for x
    x = 67,532,936,641/179,877
  6. Step 6: Final answer
    x = 375,439.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.