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Finding the Third Proportional to 225,362.25 and 459,072.56

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Solution

The third proportional to 225,362.25 and 459,072.56 is: 935,150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,362.25 : 459,072.56 = 459,072.56 : x
  2. Step 2: Convert to fraction form
    225,362.25/459,072.56 = 459,072.56/x
  3. Step 3: Cross multiply
    225,362.25x = 459,072.56 × 459,072.56
  4. Step 4: Simplify right side
    225,362.25x = 210,747,617,640.32
  5. Step 5: Solve for x
    x = 210,747,617,640.32/225,362.25
  6. Step 6: Final answer
    x = 935,150.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.