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Finding the Third Proportional to 150,843.38 and 223,655.63

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Solution

The third proportional to 150,843.38 and 223,655.63 is: 331,614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,843.38 : 223,655.63 = 223,655.63 : x
  2. Step 2: Convert to fraction form
    150,843.38/223,655.63 = 223,655.63/x
  3. Step 3: Cross multiply
    150,843.38x = 223,655.63 × 223,655.63
  4. Step 4: Simplify right side
    150,843.38x = 50,021,838,594.14
  5. Step 5: Solve for x
    x = 50,021,838,594.14/150,843.38
  6. Step 6: Final answer
    x = 331,614.42

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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.