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Finding the Third Proportional to 168,760.97 and 237,383.16

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Solution

The third proportional to 168,760.97 and 237,383.16 is: 333,908.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,760.97 : 237,383.16 = 237,383.16 : x
  2. Step 2: Convert to fraction form
    168,760.97/237,383.16 = 237,383.16/x
  3. Step 3: Cross multiply
    168,760.97x = 237,383.16 × 237,383.16
  4. Step 4: Simplify right side
    168,760.97x = 56,350,762,871.21
  5. Step 5: Solve for x
    x = 56,350,762,871.21/168,760.97
  6. Step 6: Final answer
    x = 333,908.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.