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Finding the Third Proportional to 135,274 and 210,279

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Solution

The third proportional to 135,274 and 210,279 is: 326,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,274 : 210,279 = 210,279 : x
  2. Step 2: Convert to fraction form
    135,274/210,279 = 210,279/x
  3. Step 3: Cross multiply
    135,274x = 210,279 × 210,279
  4. Step 4: Simplify right side
    135,274x = 44,217,257,841
  5. Step 5: Solve for x
    x = 44,217,257,841/135,274
  6. Step 6: Final answer
    x = 326,871.81

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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.