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Finding the Third Proportional to 236,945.25 and 511,818.75

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Solution

The third proportional to 236,945.25 and 511,818.75 is: 1,105,565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,945.25 : 511,818.75 = 511,818.75 : x
  2. Step 2: Convert to fraction form
    236,945.25/511,818.75 = 511,818.75/x
  3. Step 3: Cross multiply
    236,945.25x = 511,818.75 × 511,818.75
  4. Step 4: Simplify right side
    236,945.25x = 261,958,432,851.56
  5. Step 5: Solve for x
    x = 261,958,432,851.56/236,945.25
  6. Step 6: Final answer
    x = 1,105,565.24

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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.