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Finding the Third Proportional to 235,838.25 and 511,542

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Solution

The third proportional to 235,838.25 and 511,542 is: 1,109,553.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,838.25 : 511,542 = 511,542 : x
  2. Step 2: Convert to fraction form
    235,838.25/511,542 = 511,542/x
  3. Step 3: Cross multiply
    235,838.25x = 511,542 × 511,542
  4. Step 4: Simplify right side
    235,838.25x = 261,675,217,764
  5. Step 5: Solve for x
    x = 261,675,217,764/235,838.25
  6. Step 6: Final answer
    x = 1,109,553.76

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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.