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Finding the Third Proportional to 166,073.63 and 257,858.44

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Solution

The third proportional to 166,073.63 and 257,858.44 is: 400,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,073.63 : 257,858.44 = 257,858.44 : x
  2. Step 2: Convert to fraction form
    166,073.63/257,858.44 = 257,858.44/x
  3. Step 3: Cross multiply
    166,073.63x = 257,858.44 × 257,858.44
  4. Step 4: Simplify right side
    166,073.63x = 66,490,973,789.94
  5. Step 5: Solve for x
    x = 66,490,973,789.94/166,073.63
  6. Step 6: Final answer
    x = 400,370.46

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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.