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Finding the Third Proportional to 226,840.50 and 273,253.50

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Solution

The third proportional to 226,840.50 and 273,253.50 is: 329,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,840.50 : 273,253.50 = 273,253.50 : x
  2. Step 2: Convert to fraction form
    226,840.50/273,253.50 = 273,253.50/x
  3. Step 3: Cross multiply
    226,840.50x = 273,253.50 × 273,253.50
  4. Step 4: Simplify right side
    226,840.50x = 74,667,475,262.25
  5. Step 5: Solve for x
    x = 74,667,475,262.25/226,840.50
  6. Step 6: Final answer
    x = 329,162.89

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.