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Finding the Third Proportional to 116,856 and 255,825

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Solution

The third proportional to 116,856 and 255,825 is: 560,060.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,856 : 255,825 = 255,825 : x
  2. Step 2: Convert to fraction form
    116,856/255,825 = 255,825/x
  3. Step 3: Cross multiply
    116,856x = 255,825 × 255,825
  4. Step 4: Simplify right side
    116,856x = 65,446,430,625
  5. Step 5: Solve for x
    x = 65,446,430,625/116,856
  6. Step 6: Final answer
    x = 560,060.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.