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Finding the Third Proportional to 166,809 and 366,820.50

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Solution

The third proportional to 166,809 and 366,820.50 is: 806,654.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,809 : 366,820.50 = 366,820.50 : x
  2. Step 2: Convert to fraction form
    166,809/366,820.50 = 366,820.50/x
  3. Step 3: Cross multiply
    166,809x = 366,820.50 × 366,820.50
  4. Step 4: Simplify right side
    166,809x = 134,557,279,220.25
  5. Step 5: Solve for x
    x = 134,557,279,220.25/166,809
  6. Step 6: Final answer
    x = 806,654.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.