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Finding the Third Proportional to 166,566 and 356,928

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Solution

The third proportional to 166,566 and 356,928 is: 764,847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,566 : 356,928 = 356,928 : x
  2. Step 2: Convert to fraction form
    166,566/356,928 = 356,928/x
  3. Step 3: Cross multiply
    166,566x = 356,928 × 356,928
  4. Step 4: Simplify right side
    166,566x = 127,397,597,184
  5. Step 5: Solve for x
    x = 127,397,597,184/166,566
  6. Step 6: Final answer
    x = 764,847.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.