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Finding the Third Proportional to 134,611 and 211,193

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Solution

The third proportional to 134,611 and 211,193 is: 331,343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,611 : 211,193 = 211,193 : x
  2. Step 2: Convert to fraction form
    134,611/211,193 = 211,193/x
  3. Step 3: Cross multiply
    134,611x = 211,193 × 211,193
  4. Step 4: Simplify right side
    134,611x = 44,602,483,249
  5. Step 5: Solve for x
    x = 44,602,483,249/134,611
  6. Step 6: Final answer
    x = 331,343.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.