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Finding the Third Proportional to 166,075.31 and 356,344.31

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Solution

The third proportional to 166,075.31 and 356,344.31 is: 764,600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,075.31 : 356,344.31 = 356,344.31 : x
  2. Step 2: Convert to fraction form
    166,075.31/356,344.31 = 356,344.31/x
  3. Step 3: Cross multiply
    166,075.31x = 356,344.31 × 356,344.31
  4. Step 4: Simplify right side
    166,075.31x = 126,981,269,051.10
  5. Step 5: Solve for x
    x = 126,981,269,051.10/166,075.31
  6. Step 6: Final answer
    x = 764,600.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.