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Finding the Third Proportional to 167,000 and 258,615

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Solution

The third proportional to 167,000 and 258,615 is: 400,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,000 : 258,615 = 258,615 : x
  2. Step 2: Convert to fraction form
    167,000/258,615 = 258,615/x
  3. Step 3: Cross multiply
    167,000x = 258,615 × 258,615
  4. Step 4: Simplify right side
    167,000x = 66,881,718,225
  5. Step 5: Solve for x
    x = 66,881,718,225/167,000
  6. Step 6: Final answer
    x = 400,489.33

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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.