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Finding the Third Proportional to 236,278.50 and 511,923

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Solution

The third proportional to 236,278.50 and 511,923 is: 1,109,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,278.50 : 511,923 = 511,923 : x
  2. Step 2: Convert to fraction form
    236,278.50/511,923 = 511,923/x
  3. Step 3: Cross multiply
    236,278.50x = 511,923 × 511,923
  4. Step 4: Simplify right side
    236,278.50x = 262,065,157,929
  5. Step 5: Solve for x
    x = 262,065,157,929/236,278.50
  6. Step 6: Final answer
    x = 1,109,136.71

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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.