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Finding the Third Proportional to 116,709.75 and 180,244.69

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Solution

The third proportional to 116,709.75 and 180,244.69 is: 278,367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,709.75 : 180,244.69 = 180,244.69 : x
  2. Step 2: Convert to fraction form
    116,709.75/180,244.69 = 180,244.69/x
  3. Step 3: Cross multiply
    116,709.75x = 180,244.69 × 180,244.69
  4. Step 4: Simplify right side
    116,709.75x = 32,488,147,371.97
  5. Step 5: Solve for x
    x = 32,488,147,371.97/116,709.75
  6. Step 6: Final answer
    x = 278,367.04

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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.