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Finding the Third Proportional to 118,851 and 261,027

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Solution

The third proportional to 118,851 and 261,027 is: 573,281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,851 : 261,027 = 261,027 : x
  2. Step 2: Convert to fraction form
    118,851/261,027 = 261,027/x
  3. Step 3: Cross multiply
    118,851x = 261,027 × 261,027
  4. Step 4: Simplify right side
    118,851x = 68,135,094,729
  5. Step 5: Solve for x
    x = 68,135,094,729/118,851
  6. Step 6: Final answer
    x = 573,281.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.