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Finding the Third Proportional to 226,765.13 and 327,796.88

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Solution

The third proportional to 226,765.13 and 327,796.88 is: 473,841.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,765.13 : 327,796.88 = 327,796.88 : x
  2. Step 2: Convert to fraction form
    226,765.13/327,796.88 = 327,796.88/x
  3. Step 3: Cross multiply
    226,765.13x = 327,796.88 × 327,796.88
  4. Step 4: Simplify right side
    226,765.13x = 107,450,791,259.77
  5. Step 5: Solve for x
    x = 107,450,791,259.77/226,765.13
  6. Step 6: Final answer
    x = 473,841.78

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.