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Finding the Third Proportional to 232,193.25 and 474,225.75

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Solution

The third proportional to 232,193.25 and 474,225.75 is: 968,546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,193.25 : 474,225.75 = 474,225.75 : x
  2. Step 2: Convert to fraction form
    232,193.25/474,225.75 = 474,225.75/x
  3. Step 3: Cross multiply
    232,193.25x = 474,225.75 × 474,225.75
  4. Step 4: Simplify right side
    232,193.25x = 224,890,061,963.06
  5. Step 5: Solve for x
    x = 224,890,061,963.06/232,193.25
  6. Step 6: Final answer
    x = 968,546.94

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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.