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Finding the Third Proportional to 167,202 and 261,900

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Solution

The third proportional to 167,202 and 261,900 is: 410,231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,202 : 261,900 = 261,900 : x
  2. Step 2: Convert to fraction form
    167,202/261,900 = 261,900/x
  3. Step 3: Cross multiply
    167,202x = 261,900 × 261,900
  4. Step 4: Simplify right side
    167,202x = 68,591,610,000
  5. Step 5: Solve for x
    x = 68,591,610,000/167,202
  6. Step 6: Final answer
    x = 410,231.99

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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.