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Finding the Third Proportional to 232,891.88 and 474,346.13

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Solution

The third proportional to 232,891.88 and 474,346.13 is: 966,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,891.88 : 474,346.13 = 474,346.13 : x
  2. Step 2: Convert to fraction form
    232,891.88/474,346.13 = 474,346.13/x
  3. Step 3: Cross multiply
    232,891.88x = 474,346.13 × 474,346.13
  4. Step 4: Simplify right side
    232,891.88x = 225,004,246,302.52
  5. Step 5: Solve for x
    x = 225,004,246,302.52/232,891.88
  6. Step 6: Final answer
    x = 966,131.80

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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.