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Finding the Third Proportional to 91,269 and 200,520

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Solution

The third proportional to 91,269 and 200,520 is: 440,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,269 : 200,520 = 200,520 : x
  2. Step 2: Convert to fraction form
    91,269/200,520 = 200,520/x
  3. Step 3: Cross multiply
    91,269x = 200,520 × 200,520
  4. Step 4: Simplify right side
    91,269x = 40,208,270,400
  5. Step 5: Solve for x
    x = 40,208,270,400/91,269
  6. Step 6: Final answer
    x = 440,546.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.