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Finding the Third Proportional to 131,558 and 211,872

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Solution

The third proportional to 131,558 and 211,872 is: 341,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,558 : 211,872 = 211,872 : x
  2. Step 2: Convert to fraction form
    131,558/211,872 = 211,872/x
  3. Step 3: Cross multiply
    131,558x = 211,872 × 211,872
  4. Step 4: Simplify right side
    131,558x = 44,889,744,384
  5. Step 5: Solve for x
    x = 44,889,744,384/131,558
  6. Step 6: Final answer
    x = 341,216.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.