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Finding the Third Proportional to 168,429.38 and 365,187.23

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Solution

The third proportional to 168,429.38 and 365,187.23 is: 791,796.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,429.38 : 365,187.23 = 365,187.23 : x
  2. Step 2: Convert to fraction form
    168,429.38/365,187.23 = 365,187.23/x
  3. Step 3: Cross multiply
    168,429.38x = 365,187.23 × 365,187.23
  4. Step 4: Simplify right side
    168,429.38x = 133,361,716,150.46
  5. Step 5: Solve for x
    x = 133,361,716,150.46/168,429.38
  6. Step 6: Final answer
    x = 791,796.06

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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.