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Finding the Third Proportional to 214,625 and 341,639

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Solution

The third proportional to 214,625 and 341,639 is: 543,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,625 : 341,639 = 341,639 : x
  2. Step 2: Convert to fraction form
    214,625/341,639 = 341,639/x
  3. Step 3: Cross multiply
    214,625x = 341,639 × 341,639
  4. Step 4: Simplify right side
    214,625x = 116,717,206,321
  5. Step 5: Solve for x
    x = 116,717,206,321/214,625
  6. Step 6: Final answer
    x = 543,819.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.