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Finding the Third Proportional to 212,858 and 309,927

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Solution

The third proportional to 212,858 and 309,927 is: 451,262.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,858 : 309,927 = 309,927 : x
  2. Step 2: Convert to fraction form
    212,858/309,927 = 309,927/x
  3. Step 3: Cross multiply
    212,858x = 309,927 × 309,927
  4. Step 4: Simplify right side
    212,858x = 96,054,745,329
  5. Step 5: Solve for x
    x = 96,054,745,329/212,858
  6. Step 6: Final answer
    x = 451,262.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.