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Finding the Third Proportional to 131,836 and 209,611

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Solution

The third proportional to 131,836 and 209,611 is: 333,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,836 : 209,611 = 209,611 : x
  2. Step 2: Convert to fraction form
    131,836/209,611 = 209,611/x
  3. Step 3: Cross multiply
    131,836x = 209,611 × 209,611
  4. Step 4: Simplify right side
    131,836x = 43,936,771,321
  5. Step 5: Solve for x
    x = 43,936,771,321/131,836
  6. Step 6: Final answer
    x = 333,268.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.