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Finding the Third Proportional to 135,229 and 210,214

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Solution

The third proportional to 135,229 and 210,214 is: 326,778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,229 : 210,214 = 210,214 : x
  2. Step 2: Convert to fraction form
    135,229/210,214 = 210,214/x
  3. Step 3: Cross multiply
    135,229x = 210,214 × 210,214
  4. Step 4: Simplify right side
    135,229x = 44,189,925,796
  5. Step 5: Solve for x
    x = 44,189,925,796/135,229
  6. Step 6: Final answer
    x = 326,778.47

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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.