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Finding the Third Proportional to 213,168.38 and 462,192.75

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Solution

The third proportional to 213,168.38 and 462,192.75 is: 1,002,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,168.38 : 462,192.75 = 462,192.75 : x
  2. Step 2: Convert to fraction form
    213,168.38/462,192.75 = 462,192.75/x
  3. Step 3: Cross multiply
    213,168.38x = 462,192.75 × 462,192.75
  4. Step 4: Simplify right side
    213,168.38x = 213,622,138,152.56
  5. Step 5: Solve for x
    x = 213,622,138,152.56/213,168.38
  6. Step 6: Final answer
    x = 1,002,128.66

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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.