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Finding the Third Proportional to 135,244 and 210,238

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Solution

The third proportional to 135,244 and 210,238 is: 326,816.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,244 : 210,238 = 210,238 : x
  2. Step 2: Convert to fraction form
    135,244/210,238 = 210,238/x
  3. Step 3: Cross multiply
    135,244x = 210,238 × 210,238
  4. Step 4: Simplify right side
    135,244x = 44,200,016,644
  5. Step 5: Solve for x
    x = 44,200,016,644/135,244
  6. Step 6: Final answer
    x = 326,816.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.