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Finding the Third Proportional to 135,654.75 and 222,679.13

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Solution

The third proportional to 135,654.75 and 222,679.13 is: 365,530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,654.75 : 222,679.13 = 222,679.13 : x
  2. Step 2: Convert to fraction form
    135,654.75/222,679.13 = 222,679.13/x
  3. Step 3: Cross multiply
    135,654.75x = 222,679.13 × 222,679.13
  4. Step 4: Simplify right side
    135,654.75x = 49,585,992,710.77
  5. Step 5: Solve for x
    x = 49,585,992,710.77/135,654.75
  6. Step 6: Final answer
    x = 365,530.83

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.