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Finding the Third Proportional to 131,696 and 285,872

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Solution

The third proportional to 131,696 and 285,872 is: 620,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,696 : 285,872 = 285,872 : x
  2. Step 2: Convert to fraction form
    131,696/285,872 = 285,872/x
  3. Step 3: Cross multiply
    131,696x = 285,872 × 285,872
  4. Step 4: Simplify right side
    131,696x = 81,722,800,384
  5. Step 5: Solve for x
    x = 81,722,800,384/131,696
  6. Step 6: Final answer
    x = 620,541.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.