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Finding the Third Proportional to 166,817 and 366,838

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Solution

The third proportional to 166,817 and 366,838 is: 806,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,817 : 366,838 = 366,838 : x
  2. Step 2: Convert to fraction form
    166,817/366,838 = 366,838/x
  3. Step 3: Cross multiply
    166,817x = 366,838 × 366,838
  4. Step 4: Simplify right side
    166,817x = 134,570,118,244
  5. Step 5: Solve for x
    x = 134,570,118,244/166,817
  6. Step 6: Final answer
    x = 806,693.07

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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.