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Finding the Third Proportional to 166,583.25 and 264,944.25

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Solution

The third proportional to 166,583.25 and 264,944.25 is: 421,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,583.25 : 264,944.25 = 264,944.25 : x
  2. Step 2: Convert to fraction form
    166,583.25/264,944.25 = 264,944.25/x
  3. Step 3: Cross multiply
    166,583.25x = 264,944.25 × 264,944.25
  4. Step 4: Simplify right side
    166,583.25x = 70,195,455,608.06
  5. Step 5: Solve for x
    x = 70,195,455,608.06/166,583.25
  6. Step 6: Final answer
    x = 421,383.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.