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Finding the Third Proportional to 114,296 and 247,384

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Solution

The third proportional to 114,296 and 247,384 is: 535,441.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,296 : 247,384 = 247,384 : x
  2. Step 2: Convert to fraction form
    114,296/247,384 = 247,384/x
  3. Step 3: Cross multiply
    114,296x = 247,384 × 247,384
  4. Step 4: Simplify right side
    114,296x = 61,198,843,456
  5. Step 5: Solve for x
    x = 61,198,843,456/114,296
  6. Step 6: Final answer
    x = 535,441.69

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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.