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Finding the Third Proportional to 232,194.38 and 474,228

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Solution

The third proportional to 232,194.38 and 474,228 is: 968,551.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,194.38 : 474,228 = 474,228 : x
  2. Step 2: Convert to fraction form
    232,194.38/474,228 = 474,228/x
  3. Step 3: Cross multiply
    232,194.38x = 474,228 × 474,228
  4. Step 4: Simplify right side
    232,194.38x = 224,892,195,984
  5. Step 5: Solve for x
    x = 224,892,195,984/232,194.38
  6. Step 6: Final answer
    x = 968,551.44

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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.