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Finding the Third Proportional to 150,845 and 223,658

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Solution

The third proportional to 150,845 and 223,658 is: 331,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,845 : 223,658 = 223,658 : x
  2. Step 2: Convert to fraction form
    150,845/223,658 = 223,658/x
  3. Step 3: Cross multiply
    150,845x = 223,658 × 223,658
  4. Step 4: Simplify right side
    150,845x = 50,022,900,964
  5. Step 5: Solve for x
    x = 50,022,900,964/150,845
  6. Step 6: Final answer
    x = 331,617.89

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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.