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Finding the Third Proportional to 166,255.88 and 257,960.53

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Solution

The third proportional to 166,255.88 and 257,960.53 is: 400,248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,255.88 : 257,960.53 = 257,960.53 : x
  2. Step 2: Convert to fraction form
    166,255.88/257,960.53 = 257,960.53/x
  3. Step 3: Cross multiply
    166,255.88x = 257,960.53 × 257,960.53
  4. Step 4: Simplify right side
    166,255.88x = 66,543,635,682.78
  5. Step 5: Solve for x
    x = 66,543,635,682.78/166,255.88
  6. Step 6: Final answer
    x = 400,248.33

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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.