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Finding the Third Proportional to 126,851 and 273,322

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Solution

The third proportional to 126,851 and 273,322 is: 588,918.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,851 : 273,322 = 273,322 : x
  2. Step 2: Convert to fraction form
    126,851/273,322 = 273,322/x
  3. Step 3: Cross multiply
    126,851x = 273,322 × 273,322
  4. Step 4: Simplify right side
    126,851x = 74,704,915,684
  5. Step 5: Solve for x
    x = 74,704,915,684/126,851
  6. Step 6: Final answer
    x = 588,918.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.