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Finding the Third Proportional to 232,191.56 and 474,222.94

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Solution

The third proportional to 232,191.56 and 474,222.94 is: 968,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,191.56 : 474,222.94 = 474,222.94 : x
  2. Step 2: Convert to fraction form
    232,191.56/474,222.94 = 474,222.94/x
  3. Step 3: Cross multiply
    232,191.56x = 474,222.94 × 474,222.94
  4. Step 4: Simplify right side
    232,191.56x = 224,887,394,451.13
  5. Step 5: Solve for x
    x = 224,887,394,451.13/232,191.56
  6. Step 6: Final answer
    x = 968,542.49

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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.