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Finding the Third Proportional to 212,452 and 320,322

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Solution

The third proportional to 212,452 and 320,322 is: 482,961.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,452 : 320,322 = 320,322 : x
  2. Step 2: Convert to fraction form
    212,452/320,322 = 320,322/x
  3. Step 3: Cross multiply
    212,452x = 320,322 × 320,322
  4. Step 4: Simplify right side
    212,452x = 102,606,183,684
  5. Step 5: Solve for x
    x = 102,606,183,684/212,452
  6. Step 6: Final answer
    x = 482,961.72

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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.