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Finding the Third Proportional to 135,434 and 203,158

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Solution

The third proportional to 135,434 and 203,158 is: 304,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,434 : 203,158 = 203,158 : x
  2. Step 2: Convert to fraction form
    135,434/203,158 = 203,158/x
  3. Step 3: Cross multiply
    135,434x = 203,158 × 203,158
  4. Step 4: Simplify right side
    135,434x = 41,273,172,964
  5. Step 5: Solve for x
    x = 41,273,172,964/135,434
  6. Step 6: Final answer
    x = 304,747.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.