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Finding the Third Proportional to 199,596 and 317,425

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Solution

The third proportional to 199,596 and 317,425 is: 504,812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,596 : 317,425 = 317,425 : x
  2. Step 2: Convert to fraction form
    199,596/317,425 = 317,425/x
  3. Step 3: Cross multiply
    199,596x = 317,425 × 317,425
  4. Step 4: Simplify right side
    199,596x = 100,758,630,625
  5. Step 5: Solve for x
    x = 100,758,630,625/199,596
  6. Step 6: Final answer
    x = 504,812.88

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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.