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Finding the Third Proportional to 166,082 and 257,283

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Solution

The third proportional to 166,082 and 257,283 is: 398,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,082 : 257,283 = 257,283 : x
  2. Step 2: Convert to fraction form
    166,082/257,283 = 257,283/x
  3. Step 3: Cross multiply
    166,082x = 257,283 × 257,283
  4. Step 4: Simplify right side
    166,082x = 66,194,542,089
  5. Step 5: Solve for x
    x = 66,194,542,089/166,082
  6. Step 6: Final answer
    x = 398,565.42

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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.