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Finding the Third Proportional to 224,388.75 and 486,162

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Solution

The third proportional to 224,388.75 and 486,162 is: 1,053,321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,388.75 : 486,162 = 486,162 : x
  2. Step 2: Convert to fraction form
    224,388.75/486,162 = 486,162/x
  3. Step 3: Cross multiply
    224,388.75x = 486,162 × 486,162
  4. Step 4: Simplify right side
    224,388.75x = 236,353,490,244
  5. Step 5: Solve for x
    x = 236,353,490,244/224,388.75
  6. Step 6: Final answer
    x = 1,053,321.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.