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Finding the Third Proportional to 168,600 and 361,196

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Solution

The third proportional to 168,600 and 361,196 is: 773,799.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,600 : 361,196 = 361,196 : x
  2. Step 2: Convert to fraction form
    168,600/361,196 = 361,196/x
  3. Step 3: Cross multiply
    168,600x = 361,196 × 361,196
  4. Step 4: Simplify right side
    168,600x = 130,462,550,416
  5. Step 5: Solve for x
    x = 130,462,550,416/168,600
  6. Step 6: Final answer
    x = 773,799.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.