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Finding the Third Proportional to 116,797 and 180,449

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Solution

The third proportional to 116,797 and 180,449 is: 278,790.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,797 : 180,449 = 180,449 : x
  2. Step 2: Convert to fraction form
    116,797/180,449 = 180,449/x
  3. Step 3: Cross multiply
    116,797x = 180,449 × 180,449
  4. Step 4: Simplify right side
    116,797x = 32,561,841,601
  5. Step 5: Solve for x
    x = 32,561,841,601/116,797
  6. Step 6: Final answer
    x = 278,790.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.