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Finding the Third Proportional to 166,082 and 257,873

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Solution

The third proportional to 166,082 and 257,873 is: 400,395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,082 : 257,873 = 257,873 : x
  2. Step 2: Convert to fraction form
    166,082/257,873 = 257,873/x
  3. Step 3: Cross multiply
    166,082x = 257,873 × 257,873
  4. Step 4: Simplify right side
    166,082x = 66,498,484,129
  5. Step 5: Solve for x
    x = 66,498,484,129/166,082
  6. Step 6: Final answer
    x = 400,395.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.