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Finding the Third Proportional to 213,126 and 320,232

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Solution

The third proportional to 213,126 and 320,232 is: 481,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,126 : 320,232 = 320,232 : x
  2. Step 2: Convert to fraction form
    213,126/320,232 = 320,232/x
  3. Step 3: Cross multiply
    213,126x = 320,232 × 320,232
  4. Step 4: Simplify right side
    213,126x = 102,548,533,824
  5. Step 5: Solve for x
    x = 102,548,533,824/213,126
  6. Step 6: Final answer
    x = 481,163.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.