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Finding the Third Proportional to 214,482 and 326,334

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Solution

The third proportional to 214,482 and 326,334 is: 496,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,482 : 326,334 = 326,334 : x
  2. Step 2: Convert to fraction form
    214,482/326,334 = 326,334/x
  3. Step 3: Cross multiply
    214,482x = 326,334 × 326,334
  4. Step 4: Simplify right side
    214,482x = 106,493,879,556
  5. Step 5: Solve for x
    x = 106,493,879,556/214,482
  6. Step 6: Final answer
    x = 496,516.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.