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Finding the Third Proportional to 236,939.06 and 511,242.75

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Solution

The third proportional to 236,939.06 and 511,242.75 is: 1,103,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,939.06 : 511,242.75 = 511,242.75 : x
  2. Step 2: Convert to fraction form
    236,939.06/511,242.75 = 511,242.75/x
  3. Step 3: Cross multiply
    236,939.06x = 511,242.75 × 511,242.75
  4. Step 4: Simplify right side
    236,939.06x = 261,369,149,427.56
  5. Step 5: Solve for x
    x = 261,369,149,427.56/236,939.06
  6. Step 6: Final answer
    x = 1,103,107.05

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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.