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Finding the Third Proportional to 199,200 and 304,611

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Solution

The third proportional to 199,200 and 304,611 is: 465,802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,200 : 304,611 = 304,611 : x
  2. Step 2: Convert to fraction form
    199,200/304,611 = 304,611/x
  3. Step 3: Cross multiply
    199,200x = 304,611 × 304,611
  4. Step 4: Simplify right side
    199,200x = 92,787,861,321
  5. Step 5: Solve for x
    x = 92,787,861,321/199,200
  6. Step 6: Final answer
    x = 465,802.52

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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.