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Finding the Third Proportional to 166,950 and 364,572

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Solution

The third proportional to 166,950 and 364,572 is: 796,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,950 : 364,572 = 364,572 : x
  2. Step 2: Convert to fraction form
    166,950/364,572 = 364,572/x
  3. Step 3: Cross multiply
    166,950x = 364,572 × 364,572
  4. Step 4: Simplify right side
    166,950x = 132,912,743,184
  5. Step 5: Solve for x
    x = 132,912,743,184/166,950
  6. Step 6: Final answer
    x = 796,123.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.