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Finding the Third Proportional to 204,352 and 303,611

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Solution

The third proportional to 204,352 and 303,611 is: 451,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,352 : 303,611 = 303,611 : x
  2. Step 2: Convert to fraction form
    204,352/303,611 = 303,611/x
  3. Step 3: Cross multiply
    204,352x = 303,611 × 303,611
  4. Step 4: Simplify right side
    204,352x = 92,179,639,321
  5. Step 5: Solve for x
    x = 92,179,639,321/204,352
  6. Step 6: Final answer
    x = 451,082.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.