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Finding the Third Proportional to 116,416 and 255,694

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Solution

The third proportional to 116,416 and 255,694 is: 561,601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,416 : 255,694 = 255,694 : x
  2. Step 2: Convert to fraction form
    116,416/255,694 = 255,694/x
  3. Step 3: Cross multiply
    116,416x = 255,694 × 255,694
  4. Step 4: Simplify right side
    116,416x = 65,379,421,636
  5. Step 5: Solve for x
    x = 65,379,421,636/116,416
  6. Step 6: Final answer
    x = 561,601.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.