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Finding the Third Proportional to 195,991 and 415,533

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Solution

The third proportional to 195,991 and 415,533 is: 880,997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,991 : 415,533 = 415,533 : x
  2. Step 2: Convert to fraction form
    195,991/415,533 = 415,533/x
  3. Step 3: Cross multiply
    195,991x = 415,533 × 415,533
  4. Step 4: Simplify right side
    195,991x = 172,667,674,089
  5. Step 5: Solve for x
    x = 172,667,674,089/195,991
  6. Step 6: Final answer
    x = 880,997.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.