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Finding the Third Proportional to 225,022.50 and 480,177

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Solution

The third proportional to 225,022.50 and 480,177 is: 1,024,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,022.50 : 480,177 = 480,177 : x
  2. Step 2: Convert to fraction form
    225,022.50/480,177 = 480,177/x
  3. Step 3: Cross multiply
    225,022.50x = 480,177 × 480,177
  4. Step 4: Simplify right side
    225,022.50x = 230,569,951,329
  5. Step 5: Solve for x
    x = 230,569,951,329/225,022.50
  6. Step 6: Final answer
    x = 1,024,652.87

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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.