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Finding the Third Proportional to 168,350 and 363,405

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Solution

The third proportional to 168,350 and 363,405 is: 784,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,350 : 363,405 = 363,405 : x
  2. Step 2: Convert to fraction form
    168,350/363,405 = 363,405/x
  3. Step 3: Cross multiply
    168,350x = 363,405 × 363,405
  4. Step 4: Simplify right side
    168,350x = 132,063,194,025
  5. Step 5: Solve for x
    x = 132,063,194,025/168,350
  6. Step 6: Final answer
    x = 784,456.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.