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Finding the Third Proportional to 116,795 and 180,446

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Solution

The third proportional to 116,795 and 180,446 is: 278,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,795 : 180,446 = 180,446 : x
  2. Step 2: Convert to fraction form
    116,795/180,446 = 180,446/x
  3. Step 3: Cross multiply
    116,795x = 180,446 × 180,446
  4. Step 4: Simplify right side
    116,795x = 32,560,758,916
  5. Step 5: Solve for x
    x = 32,560,758,916/116,795
  6. Step 6: Final answer
    x = 278,785.56

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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.