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Finding the Third Proportional to 218,351 and 331,466

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Solution

The third proportional to 218,351 and 331,466 is: 503,179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,351 : 331,466 = 331,466 : x
  2. Step 2: Convert to fraction form
    218,351/331,466 = 331,466/x
  3. Step 3: Cross multiply
    218,351x = 331,466 × 331,466
  4. Step 4: Simplify right side
    218,351x = 109,869,709,156
  5. Step 5: Solve for x
    x = 109,869,709,156/218,351
  6. Step 6: Final answer
    x = 503,179.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.