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Finding the Third Proportional to 225,025.50 and 480,183

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Solution

The third proportional to 225,025.50 and 480,183 is: 1,024,664.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,025.50 : 480,183 = 480,183 : x
  2. Step 2: Convert to fraction form
    225,025.50/480,183 = 480,183/x
  3. Step 3: Cross multiply
    225,025.50x = 480,183 × 480,183
  4. Step 4: Simplify right side
    225,025.50x = 230,575,713,489
  5. Step 5: Solve for x
    x = 230,575,713,489/225,025.50
  6. Step 6: Final answer
    x = 1,024,664.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.