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Finding the Third Proportional to 166,290.75 and 364,772.25

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Solution

The third proportional to 166,290.75 and 364,772.25 is: 800,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,290.75 : 364,772.25 = 364,772.25 : x
  2. Step 2: Convert to fraction form
    166,290.75/364,772.25 = 364,772.25/x
  3. Step 3: Cross multiply
    166,290.75x = 364,772.25 × 364,772.25
  4. Step 4: Simplify right side
    166,290.75x = 133,058,794,370.06
  5. Step 5: Solve for x
    x = 133,058,794,370.06/166,290.75
  6. Step 6: Final answer
    x = 800,157.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.