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Finding the Third Proportional to 150,844.88 and 223,658.25

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Solution

The third proportional to 150,844.88 and 223,658.25 is: 331,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,844.88 : 223,658.25 = 223,658.25 : x
  2. Step 2: Convert to fraction form
    150,844.88/223,658.25 = 223,658.25/x
  3. Step 3: Cross multiply
    150,844.88x = 223,658.25 × 223,658.25
  4. Step 4: Simplify right side
    150,844.88x = 50,023,012,793.06
  5. Step 5: Solve for x
    x = 50,023,012,793.06/150,844.88
  6. Step 6: Final answer
    x = 331,618.91

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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.