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Finding the Third Proportional to 166,758 and 262,017

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Solution

The third proportional to 166,758 and 262,017 is: 411,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,758 : 262,017 = 262,017 : x
  2. Step 2: Convert to fraction form
    166,758/262,017 = 262,017/x
  3. Step 3: Cross multiply
    166,758x = 262,017 × 262,017
  4. Step 4: Simplify right side
    166,758x = 68,652,908,289
  5. Step 5: Solve for x
    x = 68,652,908,289/166,758
  6. Step 6: Final answer
    x = 411,691.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.