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Finding the Third Proportional to 109,626.75 and 236,739.38

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Solution

The third proportional to 109,626.75 and 236,739.38 is: 511,239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,626.75 : 236,739.38 = 236,739.38 : x
  2. Step 2: Convert to fraction form
    109,626.75/236,739.38 = 236,739.38/x
  3. Step 3: Cross multiply
    109,626.75x = 236,739.38 × 236,739.38
  4. Step 4: Simplify right side
    109,626.75x = 56,045,531,675.39
  5. Step 5: Solve for x
    x = 56,045,531,675.39/109,626.75
  6. Step 6: Final answer
    x = 511,239.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.