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Finding the Third Proportional to 116,961 and 275,919

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Solution

The third proportional to 116,961 and 275,919 is: 650,911.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,961 : 275,919 = 275,919 : x
  2. Step 2: Convert to fraction form
    116,961/275,919 = 275,919/x
  3. Step 3: Cross multiply
    116,961x = 275,919 × 275,919
  4. Step 4: Simplify right side
    116,961x = 76,131,294,561
  5. Step 5: Solve for x
    x = 76,131,294,561/116,961
  6. Step 6: Final answer
    x = 650,911.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.