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Finding the Third Proportional to 168,921.50 and 367,245

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Solution

The third proportional to 168,921.50 and 367,245 is: 798,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,921.50 : 367,245 = 367,245 : x
  2. Step 2: Convert to fraction form
    168,921.50/367,245 = 367,245/x
  3. Step 3: Cross multiply
    168,921.50x = 367,245 × 367,245
  4. Step 4: Simplify right side
    168,921.50x = 134,868,890,025
  5. Step 5: Solve for x
    x = 134,868,890,025/168,921.50
  6. Step 6: Final answer
    x = 798,411.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.