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Finding the Third Proportional to 118,868 and 261,062

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Solution

The third proportional to 118,868 and 261,062 is: 573,353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,868 : 261,062 = 261,062 : x
  2. Step 2: Convert to fraction form
    118,868/261,062 = 261,062/x
  3. Step 3: Cross multiply
    118,868x = 261,062 × 261,062
  4. Step 4: Simplify right side
    118,868x = 68,153,367,844
  5. Step 5: Solve for x
    x = 68,153,367,844/118,868
  6. Step 6: Final answer
    x = 573,353.37

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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.