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Finding the Third Proportional to 212,621 and 319,893

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Solution

The third proportional to 212,621 and 319,893 is: 481,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,621 : 319,893 = 319,893 : x
  2. Step 2: Convert to fraction form
    212,621/319,893 = 319,893/x
  3. Step 3: Cross multiply
    212,621x = 319,893 × 319,893
  4. Step 4: Simplify right side
    212,621x = 102,331,531,449
  5. Step 5: Solve for x
    x = 102,331,531,449/212,621
  6. Step 6: Final answer
    x = 481,286.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.