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Finding the Third Proportional to 150,842.67 and 223,654.92

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Solution

The third proportional to 150,842.67 and 223,654.92 is: 331,613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,842.67 : 223,654.92 = 223,654.92 : x
  2. Step 2: Convert to fraction form
    150,842.67/223,654.92 = 223,654.92/x
  3. Step 3: Cross multiply
    150,842.67x = 223,654.92 × 223,654.92
  4. Step 4: Simplify right side
    150,842.67x = 50,021,524,078.91
  5. Step 5: Solve for x
    x = 50,021,524,078.91/150,842.67
  6. Step 6: Final answer
    x = 331,613.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.