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Finding the Third Proportional to 170,108 and 366,214

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Solution

The third proportional to 170,108 and 366,214 is: 788,397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,108 : 366,214 = 366,214 : x
  2. Step 2: Convert to fraction form
    170,108/366,214 = 366,214/x
  3. Step 3: Cross multiply
    170,108x = 366,214 × 366,214
  4. Step 4: Simplify right side
    170,108x = 134,112,693,796
  5. Step 5: Solve for x
    x = 134,112,693,796/170,108
  6. Step 6: Final answer
    x = 788,397.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.