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Finding the Third Proportional to 212,400 and 331,504

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Solution

The third proportional to 212,400 and 331,504 is: 517,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,400 : 331,504 = 331,504 : x
  2. Step 2: Convert to fraction form
    212,400/331,504 = 331,504/x
  3. Step 3: Cross multiply
    212,400x = 331,504 × 331,504
  4. Step 4: Simplify right side
    212,400x = 109,894,902,016
  5. Step 5: Solve for x
    x = 109,894,902,016/212,400
  6. Step 6: Final answer
    x = 517,395.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.