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Finding the Third Proportional to 166,160.25 and 400,599

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Solution

The third proportional to 166,160.25 and 400,599 is: 965,811.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,160.25 : 400,599 = 400,599 : x
  2. Step 2: Convert to fraction form
    166,160.25/400,599 = 400,599/x
  3. Step 3: Cross multiply
    166,160.25x = 400,599 × 400,599
  4. Step 4: Simplify right side
    166,160.25x = 160,479,558,801
  5. Step 5: Solve for x
    x = 160,479,558,801/166,160.25
  6. Step 6: Final answer
    x = 965,811.97

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.