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Finding the Third Proportional to 166,256.50 and 257,961.50

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Solution

The third proportional to 166,256.50 and 257,961.50 is: 400,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,256.50 : 257,961.50 = 257,961.50 : x
  2. Step 2: Convert to fraction form
    166,256.50/257,961.50 = 257,961.50/x
  3. Step 3: Cross multiply
    166,256.50x = 257,961.50 × 257,961.50
  4. Step 4: Simplify right side
    166,256.50x = 66,544,135,482.25
  5. Step 5: Solve for x
    x = 66,544,135,482.25/166,256.50
  6. Step 6: Final answer
    x = 400,249.83

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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.