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Finding the Third Proportional to 232,202.25 and 474,243.75

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Solution

The third proportional to 232,202.25 and 474,243.75 is: 968,582.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,202.25 : 474,243.75 = 474,243.75 : x
  2. Step 2: Convert to fraction form
    232,202.25/474,243.75 = 474,243.75/x
  3. Step 3: Cross multiply
    232,202.25x = 474,243.75 × 474,243.75
  4. Step 4: Simplify right side
    232,202.25x = 224,907,134,414.06
  5. Step 5: Solve for x
    x = 224,907,134,414.06/232,202.25
  6. Step 6: Final answer
    x = 968,582.92

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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.