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Finding the Third Proportional to 135,155.25 and 194,686.88

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Solution

The third proportional to 135,155.25 and 194,686.88 is: 280,440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,155.25 : 194,686.88 = 194,686.88 : x
  2. Step 2: Convert to fraction form
    135,155.25/194,686.88 = 194,686.88/x
  3. Step 3: Cross multiply
    135,155.25x = 194,686.88 × 194,686.88
  4. Step 4: Simplify right side
    135,155.25x = 37,902,979,297.27
  5. Step 5: Solve for x
    x = 37,902,979,297.27/135,155.25
  6. Step 6: Final answer
    x = 280,440.30

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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.