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Finding the Third Proportional to 116,900 and 180,806

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Solution

The third proportional to 116,900 and 180,806 is: 279,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,900 : 180,806 = 180,806 : x
  2. Step 2: Convert to fraction form
    116,900/180,806 = 180,806/x
  3. Step 3: Cross multiply
    116,900x = 180,806 × 180,806
  4. Step 4: Simplify right side
    116,900x = 32,690,809,636
  5. Step 5: Solve for x
    x = 32,690,809,636/116,900
  6. Step 6: Final answer
    x = 279,647.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.