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Finding the Third Proportional to 168,042 and 369,212

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Solution

The third proportional to 168,042 and 369,212 is: 811,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,042 : 369,212 = 369,212 : x
  2. Step 2: Convert to fraction form
    168,042/369,212 = 369,212/x
  3. Step 3: Cross multiply
    168,042x = 369,212 × 369,212
  4. Step 4: Simplify right side
    168,042x = 136,317,500,944
  5. Step 5: Solve for x
    x = 136,317,500,944/168,042
  6. Step 6: Final answer
    x = 811,210.89

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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.