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Finding the Third Proportional to 223,782 and 341,517

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Solution

The third proportional to 223,782 and 341,517 is: 521,194.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,782 : 341,517 = 341,517 : x
  2. Step 2: Convert to fraction form
    223,782/341,517 = 341,517/x
  3. Step 3: Cross multiply
    223,782x = 341,517 × 341,517
  4. Step 4: Simplify right side
    223,782x = 116,633,861,289
  5. Step 5: Solve for x
    x = 116,633,861,289/223,782
  6. Step 6: Final answer
    x = 521,194.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.