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Finding the Third Proportional to 212,379 and 321,289

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Solution

The third proportional to 212,379 and 321,289 is: 486,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,379 : 321,289 = 321,289 : x
  2. Step 2: Convert to fraction form
    212,379/321,289 = 321,289/x
  3. Step 3: Cross multiply
    212,379x = 321,289 × 321,289
  4. Step 4: Simplify right side
    212,379x = 103,226,621,521
  5. Step 5: Solve for x
    x = 103,226,621,521/212,379
  6. Step 6: Final answer
    x = 486,049.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.