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Finding the Third Proportional to 92,306 and 200,812

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Solution

The third proportional to 92,306 and 200,812 is: 436,867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,306 : 200,812 = 200,812 : x
  2. Step 2: Convert to fraction form
    92,306/200,812 = 200,812/x
  3. Step 3: Cross multiply
    92,306x = 200,812 × 200,812
  4. Step 4: Simplify right side
    92,306x = 40,325,459,344
  5. Step 5: Solve for x
    x = 40,325,459,344/92,306
  6. Step 6: Final answer
    x = 436,867.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.