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Finding the Third Proportional to 196,400 and 294,519

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Solution

The third proportional to 196,400 and 294,519 is: 441,657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,400 : 294,519 = 294,519 : x
  2. Step 2: Convert to fraction form
    196,400/294,519 = 294,519/x
  3. Step 3: Cross multiply
    196,400x = 294,519 × 294,519
  4. Step 4: Simplify right side
    196,400x = 86,741,441,361
  5. Step 5: Solve for x
    x = 86,741,441,361/196,400
  6. Step 6: Final answer
    x = 441,657.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.