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Finding the Third Proportional to 168,898 and 237,520

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Solution

The third proportional to 168,898 and 237,520 is: 334,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,898 : 237,520 = 237,520 : x
  2. Step 2: Convert to fraction form
    168,898/237,520 = 237,520/x
  3. Step 3: Cross multiply
    168,898x = 237,520 × 237,520
  4. Step 4: Simplify right side
    168,898x = 56,415,750,400
  5. Step 5: Solve for x
    x = 56,415,750,400/168,898
  6. Step 6: Final answer
    x = 334,022.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.