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Finding the Third Proportional to 168,330 and 360,305

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Solution

The third proportional to 168,330 and 360,305 is: 771,221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,330 : 360,305 = 360,305 : x
  2. Step 2: Convert to fraction form
    168,330/360,305 = 360,305/x
  3. Step 3: Cross multiply
    168,330x = 360,305 × 360,305
  4. Step 4: Simplify right side
    168,330x = 129,819,693,025
  5. Step 5: Solve for x
    x = 129,819,693,025/168,330
  6. Step 6: Final answer
    x = 771,221.37

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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.