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Finding the Third Proportional to 161,873 and 245,067

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Solution

The third proportional to 161,873 and 245,067 is: 371,018.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,873 : 245,067 = 245,067 : x
  2. Step 2: Convert to fraction form
    161,873/245,067 = 245,067/x
  3. Step 3: Cross multiply
    161,873x = 245,067 × 245,067
  4. Step 4: Simplify right side
    161,873x = 60,057,834,489
  5. Step 5: Solve for x
    x = 60,057,834,489/161,873
  6. Step 6: Final answer
    x = 371,018.23

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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.