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Finding the Third Proportional to 166,609.50 and 366,422

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Solution

The third proportional to 166,609.50 and 366,422 is: 805,866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,609.50 : 366,422 = 366,422 : x
  2. Step 2: Convert to fraction form
    166,609.50/366,422 = 366,422/x
  3. Step 3: Cross multiply
    166,609.50x = 366,422 × 366,422
  4. Step 4: Simplify right side
    166,609.50x = 134,265,082,084
  5. Step 5: Solve for x
    x = 134,265,082,084/166,609.50
  6. Step 6: Final answer
    x = 805,866.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.