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Finding the Third Proportional to 116,416.50 and 255,696

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Solution

The third proportional to 116,416.50 and 255,696 is: 561,608.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,416.50 : 255,696 = 255,696 : x
  2. Step 2: Convert to fraction form
    116,416.50/255,696 = 255,696/x
  3. Step 3: Cross multiply
    116,416.50x = 255,696 × 255,696
  4. Step 4: Simplify right side
    116,416.50x = 65,380,444,416
  5. Step 5: Solve for x
    x = 65,380,444,416/116,416.50
  6. Step 6: Final answer
    x = 561,608.06

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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.