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Finding the Third Proportional to 91,244 and 200,252

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Solution

The third proportional to 91,244 and 200,252 is: 439,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,244 : 200,252 = 200,252 : x
  2. Step 2: Convert to fraction form
    91,244/200,252 = 200,252/x
  3. Step 3: Cross multiply
    91,244x = 200,252 × 200,252
  4. Step 4: Simplify right side
    91,244x = 40,100,863,504
  5. Step 5: Solve for x
    x = 40,100,863,504/91,244
  6. Step 6: Final answer
    x = 439,490.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.