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Finding the Third Proportional to 166,256.25 and 257,961.38

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Solution

The third proportional to 166,256.25 and 257,961.38 is: 400,250.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,256.25 : 257,961.38 = 257,961.38 : x
  2. Step 2: Convert to fraction form
    166,256.25/257,961.38 = 257,961.38/x
  3. Step 3: Cross multiply
    166,256.25x = 257,961.38 × 257,961.38
  4. Step 4: Simplify right side
    166,256.25x = 66,544,070,991.89
  5. Step 5: Solve for x
    x = 66,544,070,991.89/166,256.25
  6. Step 6: Final answer
    x = 400,250.04

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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.