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Finding the Third Proportional to 170,979.19 and 395,821.69

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Solution

The third proportional to 170,979.19 and 395,821.69 is: 916,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,979.19 : 395,821.69 = 395,821.69 : x
  2. Step 2: Convert to fraction form
    170,979.19/395,821.69 = 395,821.69/x
  3. Step 3: Cross multiply
    170,979.19x = 395,821.69 × 395,821.69
  4. Step 4: Simplify right side
    170,979.19x = 156,674,808,295.35
  5. Step 5: Solve for x
    x = 156,674,808,295.35/170,979.19
  6. Step 6: Final answer
    x = 916,338.48

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.