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Finding the Third Proportional to 166,578.75 and 264,935.25

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Solution

The third proportional to 166,578.75 and 264,935.25 is: 421,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,578.75 : 264,935.25 = 264,935.25 : x
  2. Step 2: Convert to fraction form
    166,578.75/264,935.25 = 264,935.25/x
  3. Step 3: Cross multiply
    166,578.75x = 264,935.25 × 264,935.25
  4. Step 4: Simplify right side
    166,578.75x = 70,190,686,692.56
  5. Step 5: Solve for x
    x = 70,190,686,692.56/166,578.75
  6. Step 6: Final answer
    x = 421,366.39

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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.