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Finding the Third Proportional to 168,820 and 360,238

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Solution

The third proportional to 168,820 and 360,238 is: 768,696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,820 : 360,238 = 360,238 : x
  2. Step 2: Convert to fraction form
    168,820/360,238 = 360,238/x
  3. Step 3: Cross multiply
    168,820x = 360,238 × 360,238
  4. Step 4: Simplify right side
    168,820x = 129,771,416,644
  5. Step 5: Solve for x
    x = 129,771,416,644/168,820
  6. Step 6: Final answer
    x = 768,696.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.