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Finding the Third Proportional to 168,872 and 263,532

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Solution

The third proportional to 168,872 and 263,532 is: 411,252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,872 : 263,532 = 263,532 : x
  2. Step 2: Convert to fraction form
    168,872/263,532 = 263,532/x
  3. Step 3: Cross multiply
    168,872x = 263,532 × 263,532
  4. Step 4: Simplify right side
    168,872x = 69,449,115,024
  5. Step 5: Solve for x
    x = 69,449,115,024/168,872
  6. Step 6: Final answer
    x = 411,252.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.