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Finding the Third Proportional to 135,289 and 214,214

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Solution

The third proportional to 135,289 and 214,214 is: 339,182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,289 : 214,214 = 214,214 : x
  2. Step 2: Convert to fraction form
    135,289/214,214 = 214,214/x
  3. Step 3: Cross multiply
    135,289x = 214,214 × 214,214
  4. Step 4: Simplify right side
    135,289x = 45,887,637,796
  5. Step 5: Solve for x
    x = 45,887,637,796/135,289
  6. Step 6: Final answer
    x = 339,182.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.