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Finding the Third Proportional to 168.09 and 322.69

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Solution

The third proportional to 168.09 and 322.69 is: 619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.09 : 322.69 = 322.69 : x
  2. Step 2: Convert to fraction form
    168.09/322.69 = 322.69/x
  3. Step 3: Cross multiply
    168.09x = 322.69 × 322.69
  4. Step 4: Simplify right side
    168.09x = 104,127.22
  5. Step 5: Solve for x
    x = 104,127.22/168.09
  6. Step 6: Final answer
    x = 619.46

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.