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Finding the Third Proportional to 56,800 and 116,384

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Solution

The third proportional to 56,800 and 116,384 is: 238,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,800 : 116,384 = 116,384 : x
  2. Step 2: Convert to fraction form
    56,800/116,384 = 116,384/x
  3. Step 3: Cross multiply
    56,800x = 116,384 × 116,384
  4. Step 4: Simplify right side
    56,800x = 13,545,235,456
  5. Step 5: Solve for x
    x = 13,545,235,456/56,800
  6. Step 6: Final answer
    x = 238,472.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.