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Finding the Third Proportional to 131,365 and 273,214

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Solution

The third proportional to 131,365 and 273,214 is: 568,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,365 : 273,214 = 273,214 : x
  2. Step 2: Convert to fraction form
    131,365/273,214 = 273,214/x
  3. Step 3: Cross multiply
    131,365x = 273,214 × 273,214
  4. Step 4: Simplify right side
    131,365x = 74,645,889,796
  5. Step 5: Solve for x
    x = 74,645,889,796/131,365
  6. Step 6: Final answer
    x = 568,232.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.