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Finding the Third Proportional to 158,857 and 223,873

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Solution

The third proportional to 158,857 and 223,873 is: 315,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,857 : 223,873 = 223,873 : x
  2. Step 2: Convert to fraction form
    158,857/223,873 = 223,873/x
  3. Step 3: Cross multiply
    158,857x = 223,873 × 223,873
  4. Step 4: Simplify right side
    158,857x = 50,119,120,129
  5. Step 5: Solve for x
    x = 50,119,120,129/158,857
  6. Step 6: Final answer
    x = 315,498.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.