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Finding the Third Proportional to 170,930 and 368,118

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Solution

The third proportional to 170,930 and 368,118 is: 792,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,930 : 368,118 = 368,118 : x
  2. Step 2: Convert to fraction form
    170,930/368,118 = 368,118/x
  3. Step 3: Cross multiply
    170,930x = 368,118 × 368,118
  4. Step 4: Simplify right side
    170,930x = 135,510,861,924
  5. Step 5: Solve for x
    x = 135,510,861,924/170,930
  6. Step 6: Final answer
    x = 792,785.71

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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.