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Finding the Third Proportional to 158,794 and 225,714

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Solution

The third proportional to 158,794 and 225,714 is: 320,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,794 : 225,714 = 225,714 : x
  2. Step 2: Convert to fraction form
    158,794/225,714 = 225,714/x
  3. Step 3: Cross multiply
    158,794x = 225,714 × 225,714
  4. Step 4: Simplify right side
    158,794x = 50,946,809,796
  5. Step 5: Solve for x
    x = 50,946,809,796/158,794
  6. Step 6: Final answer
    x = 320,835.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.